A065103 A level 11 weight 5 form.

1, 15, 82, 241, 626, 1230, 2400, 3855, 6643, 9390, 14641, 19762, 28560, 36000, 51332, 61681, 83520, 99645, 130320, 150866, 196800, 219615, 279842, 316110, 391251, 428400, 538084, 578400, 707280, 769980, 923522, 986895, 1200562

Offset: 1

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Nov 20 2001

Keywords

• nonn
• mult

Comments

Multiplicative because convolution of multiplicative functions. - Michael Somos, Jun 07 2005

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000
• Ken Ono, On the Circular Summation of the Eleventh Powers of Ramanujan's Theta Function, Journal of Number Theory, Volume 76, Issue 1, May 1999, Pages 62-65.

Crossrefs

Cf. A011582.

Programs

Mathematica

a[n_]:= If[n < 0, 0, Sum[KroneckerSymbol[d, 11]*(n/d)^4, {d, Divisors[n]}]]; Table[a[n], {n,1,50}] (* G. C. Greubel, Apr 17 2018 *)

PARI

a(n) = sumdiv(n, d, kronecker(d, 11) * (n/d)^4); \\ Amiram Eldar, Jan 18 2025

Formula

a(n) = Sum_{d | n} Kronecker(d/11)*(n/d)^4.