A081864 Sum of 5th powers of the divisors of odd numbers: a(n) = sigma_5(2n-1). (Formerly N2353)

1, 244, 3126, 16808, 59293, 161052, 371294, 762744, 1419858, 2476100, 4101152, 6436344, 9768751, 14408200, 20511150, 28629152, 39296688, 52541808, 69343958, 90595736, 115856202, 147008444, 185349918, 229345008, 282492057, 346445352

Offset

1,2

References

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

J. W. L. Glaisher, On the representations of a number as the sum of two, four, six, eight, ten, and twelve squares, Quart. J. Math. 38 (1907), 1-62 (see p. 56).

Index entries for sequences mentioned by Glaisher

Maple

with(numtheory); [seq(sigma[5](2*n-1), n=1..100)];

Mathematica

DivisorSigma[5, Range[1, 61, 2]] (* Harvey P. Dale, Jan 12 2016 *)

Prog

(PARI) a(n) = sigma(2*n-1, 5); \\ Michel Marcus, Aug 17 2019
(Magma) [DivisorSigma(5, 2*n-1):n in [1..30]]; // Marius A. Burtea, Aug 17 2019

Crossrefs

Cf. A001160.

Sequence in context: A203349 A262092 A178266 * A002594 A194134 A085440

Adjacent sequences: A081861 A081862 A081863 * A081865 A081866 A081867

Keyword

nonn

Author

N. J. A. Sloane. This sequence was in the 1973 "Handbook", but then was deleted from the database because of confusion with A002594. Resubmitted by Benoit Cloitre, Apr 12 2003. Entry revised by N. J. A. Sloane, Jun 10 2012

Extensions

Definition clarified by Harvey P. Dale, Jan 12 2016

Status

approved