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

Offset: 1

Author

N. J. A. Sloane, Nov 13 2009

Keywords

• nonn

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.

Crossrefs

Cf. A160458, A277212, A277974.

Programs

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~

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