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 A299162 #8 Mar 15 2018 15:33:20 %S A299162 1,1,2,6,17,49,135,380,1051,2925,8119,22548,62574,173767,482360, %T A299162 1339126,3717700,10321163,28653557,79548612,220843925,613110573, %U A299162 1702128034,4725475979,13118945083,36421037100,101112695940,280710759278,779313926949,2163544401343,6006468273440 %N A299162 Expansion of 1/(1 - x*Product_{k>=1} 1/(1 - k*x^k)). %H A299162 Alois P. Heinz, <a href="/A299162/b299162.txt">Table of n, a(n) for n = 0..2256</a> %H A299162 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a> %F A299162 G.f.: 1/(1 - x*Product_{k>=1} 1/(1 - k*x^k)). %F A299162 a(0) = 1; a(n) = Sum_{k=1..n} A006906(k-1)*a(n-k). %t A299162 nmax = 30; CoefficientList[Series[1/(1 - x Product[1/(1 - k x^k), {k, 1, nmax}]), {x, 0, nmax}], x] %Y A299162 Antidiagonal sums of A297328. %Y A299162 Cf. A006906, A067687, A299105, A299106, A299108, A299164, A299166, A299167. %K A299162 nonn %O A299162 0,3 %A A299162 _Ilya Gutkovskiy_, Feb 04 2018