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%I #14 Jan 04 2019 04:16:52
%S 1,4,14,40,105,249,562,1198,2460,4865,9352,17486,31973,57220,100550,
%T 173665,295413,495339,819900,1340655,2167825,3468579,5495908,8628080,
%U 13428945,20730689,31757174,48293585,72933885,109421095,163135433,241763735,356246552
%N Coefficients in the expansion of C^3/B^4, in Watson's notation of page 106.
%H Seiichi Manyama, <a href="/A160463/b160463.txt">Table of n, a(n) for n = 0..1000</a>
%H Watson, G. N., <a href="http://www.digizeitschriften.de/dms/resolveppn/?PID=GDZPPN002174499">Ramanujans Vermutung ueber Zerfaellungsanzahlen.</a> J. Reine Angew. Math. (Crelle), 179 (1938), 97-128.
%F See Maple code in A160458 for formula.
%F a(n) ~ sqrt(17/3) * exp(Pi*sqrt(34*n/15)) / (100*n). - _Vaclav Kotesovec_, Nov 28 2016
%e x^11+4*x^35+14*x^59+40*x^83+105*x^107+249*x^131+562*x^155+...
%t nmax = 50; CoefficientList[Series[Product[(1 - x^(5*k))^3/(1 - x^k)^4, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Nov 28 2016 *)
%Y Cf. Product_{n>=1} (1 - x^(5*n))^k/(1 - x^n)^(k + 1): A160461 (k=1), A160462 (k=2), this sequence (k=3), A160506 (k=4), A071734 (k=5), A160460 (k=6), A160521 (k=7), A278555 (k=12), A278556 (k=18), A278557 (k=24), A278558 (k=30).
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Nov 13 2009
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