A104054 Numbers which are the sum of three positive cubes and divisible by 31.

62, 155, 434, 496, 713, 775, 1054, 1240, 1333, 1457, 1581, 1674, 2232, 2325, 2604, 2883, 3224, 3410, 3472, 3503, 3689, 3782, 3968, 4061, 4185, 4402, 4929, 5394, 5580, 5704, 5921, 6200, 6572, 6758, 6913, 7750, 8091, 8370, 8432, 8494, 9083, 9827, 9920

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Example

a(1)=62 because 62=2^3+3^3+3^3.
a(2)=155 because 155=3^3+4^3+4^3.
a(3)=434 because 434=3^3+4^3+7^3......

Mathematica

cbQ[n_]:=Module[{prs=Select[PowersRepresentations[n, 3, 3], First[#]>0&]}, Length[ prs]>0]; Select[31Range[320], cbQ] (* Harvey P. Dale, Jul 27 2011 *)

Crossrefs

Cf. A003072.

Sequence in context: A044694 A238138 A332312 * A255153 A044394 A044775

Adjacent sequences: A104051 A104052 A104053 * A104055 A104056 A104057

Keyword

nonn

Author

Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Mar 02 2005

Status

approved