A213983 Smallest integer x >= 0 satisfying x^2 - y^2 = n^3.

0, 1, 3, 6, 8, 15, 15, 28, 24, 27, 35, 66, 42, 91, 63, 60, 64, 153, 81, 190, 90, 105, 143, 276, 118, 125, 195, 162, 154, 435, 165, 496, 192, 209, 323, 210, 216, 703, 399, 260, 253, 861, 273, 946, 297, 309, 575, 1128, 336, 343, 375, 374, 377, 1431, 405, 440

Offset

0,3

Comments

33 is the smallest odd number with the property that n does not divide a(n).

Links

Table of n, a(n) for n=0..55.

Mathematica

lst = {}; Do[y = 0; While[True, s = Last@Last@Reduce[x^2 - y^2 == n^3, x]; If[IntegerQ[s], Break[]]; y++]; AppendTo[lst, s], {n, 55}]; Prepend[lst, 0]

Crossrefs

Sequence in context: A365314 A345318 A274605 * A174133 A261928 A246141

Adjacent sequences: A213980 A213981 A213982 * A213984 A213985 A213986

Keyword

nonn

Author

Arkadiusz Wesolowski, Jun 30 2012

Status

approved