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

0,1

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.

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 *)

Crossrefs

Equals 8 times A256209.

Sequence in context: A152134 A279018 A011925 * A159741 A302489 A099041

Adjacent sequences: A256049 A256050 A256051 * A256053 A256054 A256055

Keyword

nonn

Author

N. J. A. Sloane, Mar 24 2015

Status

approved