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Values of x in solutions (x,y,z) to the Diophantine equation x^3-x^2+y^3-y^2=z^3-z^2, with 1<x<y<z.
2

%I #2 Mar 30 2012 18:35:47

%S 64,94,160,256,268,301,333,390,682,864,1015,1151,1188,2068,3094,4165,

%T 4177,5452,5959,6201,6490,8181,9334,11440,11561,11628,14116,14416,

%U 17220,18684,18940,19360,20856,21825,25880,26865,27501,28630,28850,28858

%N Values of x in solutions (x,y,z) to the Diophantine equation x^3-x^2+y^3-y^2=z^3-z^2, with 1<x<y<z.

%C A045991(x)=A045991(z)-A045991(y), y=A138668(n) and z=A138669(n).

%e Solutions to the Diophantine equation in lexicographic order: {x, y, z}: {64, 100, 108}, {94, 301, 304}, {160, 226, 250}, {256, 305, 356}, {268, 341, 389}, {301, 770, 785}, {333, 370, 444}, {390, 876, 901},...

%Y Cf. A138668, A138669, A045991.

%K nonn

%O 1,1

%A _Manuel Valdivia_, Apr 17 2008