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A073570 G.f.: Sum_{n >= 1} x^n/(1-x^n)^5. 3
1, 6, 16, 41, 71, 147, 211, 371, 511, 791, 1002, 1547, 1821, 2596, 3146, 4247, 4846, 6627, 7316, 9681, 10852, 13657, 14951, 19427, 20546, 25577, 27916, 34096, 35961, 44912, 46377, 56607, 59922, 70896, 74096, 90278, 91391, 108591, 113766, 133421 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

(1/24)*(sigma[4](n)+6*sigma[3](n)+11*sigma[2](n)+6*sigma[1](n)).

Inverse Moebius transform of pentatope numbers. - Jonathan Vos Post, Mar 31 2006

a(n) = SUM[d|n] (d+1)*(d+2)*(d+3)*(d+4)/24 = SUM[d|n] C(d+3,4) = SUM[d|n] A000332(d+3). - Jonathan Vos Post, Mar 31 2006. Corrected by Joshua Zucker, May 04 2007

MATHEMATICA

Table[(DivisorSigma[4, n]+6*DivisorSigma[3, n]+11*DivisorSigma[2, n]+ 6*DivisorSigma[ 1, n])/24, {n, 40}] (* Harvey P. Dale, Aug 08 2013 *)

CROSSREFS

Cf. A000005, A000203, A000332, A007437, A059358.

Sequence in context: A123205 A123607 A261819 * A283960 A283330 A263325

Adjacent sequences:  A073567 A073568 A073569 * A073571 A073572 A073573

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, Aug 31 2002

EXTENSIONS

Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, May 31 2007

STATUS

approved

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Last modified April 7 13:36 EDT 2020. Contains 333305 sequences. (Running on oeis4.)