This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A160521 #17 Aug 11 2025 07:01:33
%S A160521 1,8,44,192,726,2457,7648,22220,60993,159478,399906,966600,2261630,
%T A160521 5139897,11378988,24598683,52033372,107890610,219630050,439535138,
%U A160521 865784403,1680352500,3216454360,6077280123,11343018559,20928404349,38194869384,68989715838
%N A160521 Coefficients in the expansion of C^7/B^8, in Watson's notation of page 106.
%H A160521 Seiichi Manyama, <a href="/A160521/b160521.txt">Table of n, a(n) for n = 0..1000</a>
%H A160521 Watson, G. N., <a href="https://gdz.sub.uni-goettingen.de/id/PPN243919689_0179">Ramanujans Vermutung ueber Zerfaellungsanzahlen.</a> J. Reine Angew. Math. (Crelle), 179 (1938), 97-128.
%F A160521 See Maple code in A160458 for formula.
%F A160521 a(n) ~ sqrt(11) * exp(Pi*sqrt(22*n/5)) / (2500*n). - _Vaclav Kotesovec_, Nov 28 2016
%e A160521 x^27+8*x^51+44*x^75+192*x^99+726*x^123+2457*x^147+7648*x^171+...
%t A160521 nmax = 50; CoefficientList[Series[Product[(1 - x^(5*k))^7/(1 - x^k)^8, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Nov 28 2016 *)
%Y A160521 Cf. Product_{n>=1} (1 - x^(5*n))^k/(1 - x^n)^(k + 1): A160461 (k=1), A160462 (k=2), A160463 (k=3), A160506 (k=4), A071734 (k=5), A160460 (k=6), this sequence (k=7), A278555 (k=12), A278556 (k=18), A278557 (k=24), A278558 (k=30).
%K A160521 nonn
%O A160521 0,2
%A A160521 _N. J. A. Sloane_, Nov 13 2009