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 A109471 #12 Jun 12 2019 09:52:12 %S A109471 1,3,6,11,17,27,38,55,76,103,136,182,235,303,385,489,612,766,945,1166, %T A109471 1428,1742,2111,2557,3072,3686,4401,5246,6223,7371,8692,10236,12014, %U A109471 14074,16435,19171,22292,25884,29981,34677,40017,46122,53038,60920 %N A109471 Cumulative sum of absolute values of coefficients of q^(2n) in the series expansion of Ramanujan's mock theta function f(q). %H A109471 Vaclav Kotesovec, <a href="/A109471/b109471.txt">Table of n, a(n) for n = 0..5000</a> %F A109471 a(n) = Sum_{k=0..n} abs(A000039(k)). [corrected by _Joerg Arndt_, Feb 25 2018] %F A109471 a(n) ~ sqrt(3/2) * exp(sqrt(n/3)*Pi) / Pi. - _Vaclav Kotesovec_, Jun 12 2019 %t A109471 nmax = 200; f[q_, s_] := Sum[q^(n^2)/Product[1 + q^k, {k, n}]^2, {n, 0, s}]; A000039:= CoefficientList[Series[f[q, nmax], {q, 0, nmax}], q][[1 ;; -1 ;; 2]]; Table[Sum[Abs[A000039[[k]]], {k,1,n}], {n,1,51}] (* _G. C. Greubel_, Feb 18 2018 *) %Y A109471 Cf. A000039, A000019, A053250, A053251, A053252, A053253, A053254, A053255, A064053. %K A109471 easy,nonn %O A109471 0,2 %A A109471 _Jonathan Vos Post_, Aug 28 2005