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 A291653 #10 Feb 16 2025 08:33:50
%S A291653 1,1,3,13,55,236,1035,4593,20551,92578,419338,1907951,8713555,
%T A291653 39921038,183396671,844515563,3896933367,18014916576,83415684654,
%U A291653 386807933378,1796024496430,8349190182990,38854827380075,180997895984903,843906670596499,3938005827167461,18390418912425940
%N A291653 a(n) = [x^n] (1/(1 - x/(1 - x^2/(1 - x^3/(1 - x^4/(1 - x^5/(1 - ...)))))))^n, a continued fraction.
%H A291653 Seiichi Manyama, <a href="/A291653/b291653.txt">Table of n, a(n) for n = 0..500</a>
%H A291653 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Rogers-RamanujanContinuedFraction.html">Rogers-Ramanujan Continued Fraction</a>
%F A291653 a(n) = A291652(n,n).
%F A291653 a(n) ~ c * d^n / sqrt(n), where d = 4.760595370947474723688065553003203505424287110594102605580439495640678... and c = 0.22756527349964754363249384886359862025065238... - _Vaclav Kotesovec_, Apr 08 2018
%t A291653 Table[SeriesCoefficient[1/(1 + ContinuedFractionK[-x^i, 1, {i, 1, n}])^n, {x, 0, n}], {n, 0, 26}]
%Y A291653 Main diagonal of A291652.
%Y A291653 Cf. A291274, A291651.
%K A291653 nonn
%O A291653 0,3
%A A291653 _Ilya Gutkovskiy_, Aug 28 2017