|
|
A073570
|
|
G.f.: Sum_{n >= 1} x^n/(1-x^n)^5.
|
|
11
|
|
|
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
|
|
|
FORMULA
|
(1/24)*(sigma[4](n)+6*sigma[3](n)+11*sigma[2](n)+6*sigma[1](n)).
|
|
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 *)
|
|
PROG
|
(PARI) a(n) = sumdiv(n, d, binomial(d+3, 4)); \\ Seiichi Manyama, Apr 19 2021
(PARI) my(N=66, x='x+O('x^N)); Vec(sum(k=1, N, binomial(k+3, 4)*x^k/(1-x^k))) \\ Seiichi Manyama, Apr 19 2021
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|