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 A295072 #7 Sep 18 2021 02:09:57
%S A295072 1,1,1,1,1,2,3,4,5,7,10,14,19,26,36,51,71,98,135,188,262,364,504,699,
%T A295072 971,1350,1874,2600,3608,5011,6959,9661,13409,18615,25846,35887,49821,
%U A295072 69163,96018,133310,185082,256951,356722,495245,687568,954575,1325251,1839865,2554325,3546245,4923342
%N A295072 Expansion of 1/(1 - x/(1 - x^4/(1 - x^10/(1 - x^20/(1 - x^35/(1 - ... - x^(k*(k+1)*(k+2)/6)/(1 - ...))))))), a continued fraction.
%F A295072 G.f.: 1/(1 - x/(1 - x^4/(1 - x^10/(1 - x^20/(1 - x^35/(1 - ... - x^A000292(k)/(1 - ...))))))), a continued fraction.
%F A295072 a(n) ~ c * d^n, where d = 1.388323040709674097023351236945145477752521994116275726548400298175286... and c = 0.369600335108282885310522776855743258910315692223280044555536918225... - _Vaclav Kotesovec_, Sep 18 2021
%t A295072 nmax = 50; CoefficientList[Series[1/(1 + ContinuedFractionK[-x^(k (k + 1) (k + 2)/6), 1, {k, 1, nmax}]), {x, 0, nmax}], x]
%Y A295072 Cf. A000292, A206740, A285484, A295073.
%K A295072 nonn
%O A295072 0,6
%A A295072 _Ilya Gutkovskiy_, Nov 13 2017