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 A117161 #10 Feb 08 2023 02:43:18
%S A117161 1,1,3,6,15,31,73,157,358,785,1762,3896,8702,19299,42995,95507,212552,
%T A117161 472445,1050973,2336670,5197036,11556157,25700188,57150018,127093805,
%U A117161 282627186,628514815,1397684691,3108193486,6911996344,15370966058
%N A117161 Limit of columns of triangle A112682.
%C A117161 Equals the self-convolution inverse of A117166, where A117166 is the Shift-Moebius transform of [1,0,0,0,...] (see A117165 for the Shift-Moebius transform coefficients).
%C A117161 Limit_{n->oo} a(n+1)/a(n) = 2.223805416529545241557...
%H A117161 Vaclav Kotesovec, <a href="/A117161/b117161.txt">Table of n, a(n) for n = 1..600</a>
%F A117161 a(n) ~ c * d^n, where d = 2.22380541652954524155773588821857101036961489569496661752400123603526677062... and c = 0.26711638477321148860322250949475835248606998843344097590907725227209181124... - _Vaclav Kotesovec_, Feb 08 2023
%o A117161 (PARI) {a(n)=if(n<1,0,SM=prod(i=0,n,matrix(n,n,r,c,if(r>=c, if((r+n-i)%(c+n-i)==0,moebius((r+n-i)/(c+n-i)),0)))); RV=SM*vector(n,i,if(i==1,1,0))~;return(Vec(1/Ser(RV))[n]))}
%Y A117161 Cf. A112682, A117166 (inverse), A117165 (Shift-Moebius).
%K A117161 nonn
%O A117161 1,3
%A A117161 _Wouter Meeussen_ and _Paul D. Hanna_, Feb 28 2006