A160459 - OEIS

A160459

Omit first term of A160458 and divide by 5.

2, 13, 66, 286, 1102, 3879, 12688, 39050, 114114, 318863, 856654, 2222688, 5589916, 13668072, 32576016, 75845402, 172830788, 386088741, 846744800, 1825447086, 3872819904, 8094022001, 16679126516, 33916289400, 68106769602, 135148379654, 265177195950

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OFFSET

1,1

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..1000

Watson, G. N., Ramanujans Vermutung ueber Zerfaellungsanzahlen. J. Reine Angew. Math. (Crelle), 179 (1938), 97-128. See the expression C^2/B^10.

FORMULA

a(n) = 1/5 * A160458(n) = 1/5 * Sum_{k=0..n} A277212(k)*A277212(n-k) = 2 * A277974(n) + 5 * Sum_{k=1..n-1} A277974(k)*A277974(n-k). - Seiichi Manyama, Nov 27 2016

PROG

(PARI) x='x+O('x^66); v=Vec((eta(x^5)/eta(x)^5)^2); vector(#v-1, j, v[j+1]/5) \\ Joerg Arndt, Nov 27 2016~

CROSSREFS

Cf. A160458, A277212, A277974.

Sequence in context: A266633 A037745 A037626 * A037752 A037640 A137967

Adjacent sequences: A160456 A160457 A160458 * A160460 A160461 A160462

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Nov 13 2009

STATUS

approved