A138667 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.

64, 94, 160, 256, 268, 301, 333, 390, 682, 864, 1015, 1151, 1188, 2068, 3094, 4165, 4177, 5452, 5959, 6201, 6490, 8181, 9334, 11440, 11561, 11628, 14116, 14416, 17220, 18684, 18940, 19360, 20856, 21825, 25880, 26865, 27501, 28630, 28850, 28858

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..40.

Example

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},...

Crossrefs

Cf. A138668, A138669, A045991.

Sequence in context: A302882 A303530 A119894 * A290462 A355790 A240527

Adjacent sequences: A138664 A138665 A138666 * A138668 A138669 A138670

Keyword

nonn

Author

Manuel Valdivia, Apr 17 2008

Status

approved