A256052 Coefficients of mock modular form H_2^(4) (divided by 2).

8, 24, 56, 112, 216, 392, 672, 1128, 1840, 2912, 4536, 6936, 10416, 15456, 22632, 32728, 46872, 66472, 93400, 130200, 180104, 247312, 337392, 457408, 616392, 826104, 1101352, 1460928, 1928880, 2535280, 3318000, 4324824, 5615224, 7263424, 9362088, 12025904, 15396856, 19650792

Offset: 0

Author

N. J. A. Sloane, Mar 24 2015

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..2500
• Miranda C. N. Cheng, John F. R. Duncan, Jeffrey A. Harvey, Umbral Moonshine, arXiv:1204.2779 [math.RT], 2012-2013.

Crossrefs

Equals 8 times A256209.

Programs

Mathematica

nmax = 50; a:= 8*CoefficientList[Series[q*Sum[q^(k - 1)*(Product[1 + q^j, {j, 1, 2 k - 2}])/(Product[1 - q^(2 j - 1), {j, 1, k}])^2, {k, 0, nmax}], {q, 0, 150}], q]; Table[a[[n]], {n, 1, 100}] (* G. C. Greubel, Jul 27 2018 *)