// fltk 7Fl_Tile 45 -1064 1048 614 25 [ // fltk N4xcas13Tableur_GroupE 45 -1064 1048 613 25 1 1 1 0 spreadsheet[[[1,1,[m,[-5.0,5.0,-5.0,5.0],8,[1.0,1.0],1,1,0]],[=(A0)^3,1,2],[1,1,2],[=ifactor(C0),*(NULL),2],[=sqrt(C0),1,2],[=(A0)^2*((A0+1)^2)/4,1,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A0+1,2,2],[=(A1)^3,8,2],[=C0+B1,9,2],[=ifactor(C1),3^2,2],[=sqrt(C1),3,2],[=(A1)^2*((A1+1)^2)/4,9,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A1+1,3,2],[=(A2)^3,27,2],[=C1+B2,36,2],[=ifactor(C2),2^2*3^2,2],[=sqrt(C2),6,2],[=(A2)^2*((A2+1)^2)/4,36,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A2+1,4,2],[=(A3)^3,64,2],[=C2+B3,100,2],[=ifactor(C3),2^2*5^2,2],[=sqrt(C3),10,2],[=(A3)^2*((A3+1)^2)/4,100,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A3+1,5,2],[=(A4)^3,125,2],[=C3+B4,225,2],[=ifactor(C4),3^2*5^2,2],[=sqrt(C4),15,2],[=(A4)^2*((A4+1)^2)/4,225,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A4+1,6,2],[=(A5)^3,216,2],[=C4+B5,441,2],[=ifactor(C5),3^2*7^2,2],[=sqrt(C5),21,2],[=(A5)^2*((A5+1)^2)/4,441,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A5+1,7,2],[=(A6)^3,343,2],[=C5+B6,784,2],[=ifactor(C6),2^4*7^2,2],[=sqrt(C6),28,2],[=(A6)^2*((A6+1)^2)/4,784,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A6+1,8,2],[=(A7)^3,512,2],[=C6+B7,1296,2],[=ifactor(C7),2^4*3^4,2],[=sqrt(C7),36,2],[=(A7)^2*((A7+1)^2)/4,1296,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A7+1,9,2],[=(A8)^3,729,2],[=C7+B8,2025,2],[=ifactor(C8),3^4*5^2,2],[=sqrt(C8),45,2],[=(A8)^2*((A8+1)^2)/4,2025,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A8+1,10,2],[=(A9)^3,1000,2],[=C8+B9,3025,2],[=ifactor(C9),5^2*11^2,2],[=sqrt(C9),55,2],[=(A9)^2*((A9+1)^2)/4,3025,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A9+1,11,2],[=(A10)^3,1331,2],[=C9+B10,4356,2],[=ifactor(C10),2^2*3^2*11^2,2],[=sqrt(C10),66,2],[=(A10)^2*((A10+1)^2)/4,4356,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A10+1,12,2],[=(A11)^3,1728,2],[=C10+B11,6084,2],[=ifactor(C11),2^2*3^2*13^2,2],[=sqrt(C11),78,2],[=(A11)^2*((A11+1)^2)/4,6084,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A11+1,13,2],[=(A12)^3,2197,2],[=C11+B12,8281,2],[=ifactor(C12),7^2*13^2,2],[=sqrt(C12),91,2],[=(A12)^2*((A12+1)^2)/4,8281,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A12+1,14,2],[=(A13)^3,2744,2],[=C12+B13,11025,2],[=ifactor(C13),3^2*5^2*7^2,2],[=sqrt(C13),105,2],[=(A13)^2*((A13+1)^2)/4,11025,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A13+1,15,2],[=(A14)^3,3375,2],[=C13+B14,14400,2],[=ifactor(C14),2^6*3^2*5^2,2],[=sqrt(C14),120,2],[=(A14)^2*((A14+1)^2)/4,14400,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A14+1,16,2],[=(A15)^3,4096,2],[=C14+B15,18496,2],[=ifactor(C15),2^6*17^2,2],[=sqrt(C15),136,2],[=(A15)^2*((A15+1)^2)/4,18496,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A15+1,17,2],[=(A16)^3,4913,2],[=C15+B16,23409,2],[=ifactor(C16),3^4*17^2,2],[=sqrt(C16),153,2],[=(A16)^2*((A16+1)^2)/4,23409,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A16+1,18,2],[=(A17)^3,5832,2],[=C16+B17,29241,2],[=ifactor(C17),3^4*19^2,2],[=sqrt(C17),171,2],[=(A17)^2*((A17+1)^2)/4,29241,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A17+1,19,2],[=(A18)^3,6859,2],[=C17+B18,36100,2],[=ifactor(C18),2^2*5^2*19^2,2],[=sqrt(C18),190,2],[=(A18)^2*((A18+1)^2)/4,36100,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A18+1,20,2],[=(A19)^3,8000,2],[=C18+B19,44100,2],[=ifactor(C19),2^2*3^2*5^2*7^2,2],[=sqrt(C19),210,2],[=(A19)^2*((A19+1)^2)/4,44100,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A19+1,21,2],[=(A20)^3,9261,2],[=C19+B20,53361,2],[=ifactor(C20),3^2*7^2*11^2,2],[=sqrt(C20),231,2],[=(A20)^2*((A20+1)^2)/4,53361,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A20+1,22,2],[=(A21)^3,10648,2],[=C20+B21,64009,2],[=ifactor(C21),11^2*23^2,2],[=sqrt(C21),253,2],[=(A21)^2*((A21+1)^2)/4,64009,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A21+1,23,2],[=(A22)^3,12167,2],[=C21+B22,76176,2],[=ifactor(C22),2^4*3^2*23^2,2],[=sqrt(C22),276,2],[=(A22)^2*((A22+1)^2)/4,76176,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A22+1,24,2],[=(A23)^3,13824,2],[=C22+B23,90000,2],[=ifactor(C23),2^4*3^2*5^4,2],[=sqrt(C23),300,2],[=(A23)^2*((A23+1)^2)/4,90000,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A23+1,25,2],[=(A24)^3,15625,2],[=C23+B24,105625,2],[=ifactor(C24),5^4*13^2,2],[=sqrt(C24),325,2],[=(A24)^2*((A24+1)^2)/4,105625,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A24+1,26,2],[=(A25)^3,17576,2],[=C24+B25,123201,2],[=ifactor(C25),3^6*13^2,2],[=sqrt(C25),351,2],[=(A25)^2*((A25+1)^2)/4,123201,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A25+1,27,2],[=(A26)^3,19683,2],[=C25+B26,142884,2],[=ifactor(C26),2^2*3^6*7^2,2],[=sqrt(C26),378,2],[=(A26)^2*((A26+1)^2)/4,142884,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A26+1,28,2],[=(A27)^3,21952,2],[=C26+B27,164836,2],[=ifactor(C27),2^2*7^2*29^2,2],[=sqrt(C27),406,2],[=(A27)^2*((A27+1)^2)/4,164836,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A27+1,29,2],[=(A28)^3,24389,2],[=C27+B28,189225,2],[=ifactor(C28),3^2*5^2*29^2,2],[=sqrt(C28),435,2],[=(A28)^2*((A28+1)^2)/4,189225,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A28+1,30,2],[=(A29)^3,27000,2],[=C28+B29,216225,2],[=ifactor(C29),3^2*5^2*31^2,2],[=sqrt(C29),465,2],[=(A29)^2*((A29+1)^2)/4,216225,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A29+1,31,2],[=(A30)^3,29791,2],[=C29+B30,246016,2],[=ifactor(C30),2^8*31^2,2],[=sqrt(C30),496,2],[=(A30)^2*((A30+1)^2)/4,246016,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A30+1,32,2],[=(A31)^3,32768,2],[=C30+B31,278784,2],[=ifactor(C31),2^8*3^2*11^2,2],[=sqrt(C31),528,2],[=(A31)^2*((A31+1)^2)/4,278784,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]],[[=A31+1,33,2],[=(A32)^3,35937,2],[=C31+B32,314721,2],[=ifactor(C32),3^2*11^2*17^2,2],[=sqrt(C32),561,2],[=(A32)^2*((A32+1)^2)/4,314721,2],[0,0,2],[0,0,2],[0,0,2],[0,0,2]]] , // fltk N4xcas10Log_OutputE 45 -451 1048 1 25 ] , // fltk 7Fl_Tile 45 -448 1048 89 25 [ // fltk N4xcas19Multiline_Input_tabE 45 -448 1048 35 25 l:=m[0..32,4] , // fltk N4xcas10Log_OutputE 45 -413 1048 1 25 , // fltk N4xcas8EquationE 45 -412 1048 53 25 [1,3,6,10,15,21,28,36,45,55,66,78,91,105,120,136,153,171,190,210,231,253,276,300,325,351,378,406,435,465,496,528,561] ] , // fltk 7Fl_Tile 45 -357 1048 389 25 [ // fltk N4xcas19Multiline_Input_tabE 45 -357 1048 35 25 listplot(l) , // fltk N4xcas10Log_OutputE 45 -322 1048 1 25 , // fltk 7Fl_Tile 45 -321 1048 353 25 [ // fltk N4xcas7Graph2dE 45 -321 941 353 25 0,35,-50,550,[pnt(pnt[group[1+i,2+3*(i),3+6*(i),4+10*(i),5+15*(i),6+21*(i),7+28*(i),8+36*(i),9+45*(i),10+55*(i),11+66*(i),12+78*(i),13+91*(i),14+105*(i),15+120*(i),16+136*(i),17+153*(i),18+171*(i),19+190*(i),20+210*(i),21+231*(i),22+253*(i),23+276*(i),24+300*(i),25+325*(i),26+351*(i),27+378*(i),28+406*(i),29+435*(i),30+465*(i),31+496*(i),32+528*(i),33+561*(i)],0])],-5,5,1,0,0,0,5,50,1,0,1,2.5,0 , // fltk 7Fl_Tile 986 -321 107 353 25 [ // fltk N4xcas14Mouse_PositionE 986 -321 107 50 25 [] , // fltk 8Fl_Group 986 -271 107 140 25 [ // fltk 9Fl_Button 986 -271 36 28 25 [] , // fltk 9Fl_Button 1022 -271 35 28 25 [] , // fltk 9Fl_Button 1057 -271 36 28 25 [] , // fltk 9Fl_Button 986 -243 36 28 25 [] , // fltk 9Fl_Button 1022 -243 35 28 25 [] , // fltk 9Fl_Button 1057 -243 36 28 25 [] , // fltk 9Fl_Button 986 -215 36 28 25 [] , // fltk 9Fl_Button 1022 -215 35 28 25 [] , // fltk 9Fl_Button 1057 -215 36 28 25 [] , // fltk 9Fl_Button 986 -187 36 28 25 [] , // fltk 9Fl_Button 1022 -187 35 28 25 [] , // fltk 9Fl_Button 1057 -187 36 28 25 [] , // fltk 9Fl_Button 986 -159 36 28 25 [] , // fltk 11Fl_Menu_Bar 1022 -159 71 28 25 [] ] , // fltk 8Fl_Group 986 -131 107 163 25 [ ] ] ] ] , // fltk 7Fl_Tile 45 34 1048 36 25 [ // fltk N4xcas23Comment_Multiline_InputE 45 34 1048 35 25 est-ce une parabole? si oui on cherche a*n^2+b*n+c=l[n] , // fltk N4xcas10Log_OutputE 45 69 1048 1 25 ] , // fltk 7Fl_Tile 45 72 1048 118 25 [ // fltk N4xcas19Multiline_Input_tabE 45 72 1048 35 25 linsolve([1*a+1*b+c=l[0],2^2*a+2*b+c=l[1],3^2*a+3*b+c=l[2]],[a,b,c]) , // fltk N4xcas10Log_OutputE 45 107 1048 1 25 , // fltk N4xcas8EquationE 45 108 1048 82 25 [1/2,1/2,0] ] , // fltk 7Fl_Tile 45 192 1048 36 25 [ // fltk N4xcas23Comment_Multiline_InputE 45 192 1048 35 25 on compare l et seq(a*n^2+b*n+c,n,1,33) , // fltk N4xcas10Log_OutputE 45 227 1048 1 25 ] , // fltk 7Fl_Tile 45 230 1048 139 25 [ // fltk N4xcas19Multiline_Input_tabE 45 230 1048 35 25 [seq(1/2*n^2+1/2*n,n,1,33),l] , // fltk N4xcas10Log_OutputE 45 265 1048 1 25 , // fltk N4xcas8EquationE 45 266 1048 103 25 [[1,3,6,10,15,21,28,36,45,55,66,78,91,105,120,136,153,171,190,210,231,253,276,300,325,351,378,406,435,465,496,528,561],[1,3,6,10,15,21,28,36,45,55,66,78,91,105,120,136,153,171,190,210,231,253,276,300,325,351,378,406,435,465,496,528,561]] ] , // fltk 7Fl_Tile 45 371 1048 132 25 [ // fltk N4xcas19Multiline_Input_tabE 45 371 1048 35 25 formule_finale=factor((1/2*n^2+1/2*n)^2) , // fltk N4xcas10Log_OutputE 45 406 1048 1 25 , // fltk N4xcas8EquationE 45 407 1048 96 25 formule_finale=(((n+1)^2*n^2)/4) ] , // fltk 7Fl_Tile 45 505 1048 132 25 [ // fltk N4xcas19Multiline_Input_tabE 45 505 1048 35 25 factor(sum(x^3,x,0,n)) , // fltk N4xcas10Log_OutputE 45 540 1048 1 25 , // fltk N4xcas8EquationE 45 541 1048 96 16 ((n+1)^2*n^2)/4 ] , // fltk 7Fl_Tile 45 639 1048 36 25 [ // fltk N4xcas19Multiline_Input_tabE 45 639 1048 35 25 , // fltk N4xcas10Log_OutputE 45 674 1048 1 25 ]