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A175926 Sum of divisors of cubes. 8
1, 15, 40, 127, 156, 600, 400, 1023, 1093, 2340, 1464, 5080, 2380, 6000, 6240, 8191, 5220, 16395, 7240, 19812, 16000, 21960, 12720, 40920, 19531, 35700, 29524, 50800, 25260, 93600, 30784, 65535, 58560, 78300, 62400, 138811, 52060, 108600, 95200 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Multiplicative with a(p^e) = (p^(3e+1)-1)/(p-1). - R. J. Mathar, Mar 31 2011

The Mobius transform of the sequence is 1, 14, 39 ,112, 155,..., which equals the sequence defined by n*A160889(n). - R. J. Mathar, Apr 15 2011

Zhi-Wei Sun noted that the first 10^7 terms are pairwise distinct, but Noam D. Elkies found that a(48142241) = a(48374911), a(384422506) = a(403764207) and so on. - Zhi-Wei Sun, Jan 08 2014

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A000203(n^3). - R. J. Mathar, Mar 31 2011

MATHEMATICA

DivisorSigma[1, #]&/@((Range[40])^3) (* Harvey P. Dale, Aug 30 2015 *)

PROG

(MAGMA) [ SumOfDivisors(n^3) : n in [1..100]]; // Vincenzo Librandi, Apr 14 2011

CROSSREFS

Cf. sigma(n^k): A000203 (k=1), A065764 (k=2), this sequence (k=3), A202994 (k=4), A203556 (k=5).

Sequence in context: A005337 A160891 A223425 * A038991 A068020 A131991

Adjacent sequences:  A175923 A175924 A175925 * A175927 A175928 A175929

KEYWORD

nonn,mult

AUTHOR

Zak Seidov, Oct 19 2010

STATUS

approved

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Last modified April 18 06:48 EDT 2019. Contains 322209 sequences. (Running on oeis4.)