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 A111827 #14 Nov 28 2017 11:53:54
%S A111827 1,2,8,134,10340,3649346,6188114528,52398157106366,
%T A111827 2277627698797283420,518758596372421679994170,
%U A111827 628925760908337480420110203736,4109478867142143642923124190955500214
%N A111827 Number of partitions of 6^n into powers of 6, also equals the row sums of triangle A111825, which shifts columns left and up under matrix 6th power.
%H A111827 Alois P. Heinz, <a href="/A111827/b111827.txt">Table of n, a(n) for n = 0..52</a>
%F A111827 a(n) = [x^(6^n)] 1/Product_{j>=0}(1-x^(6^j)).
%o A111827 (PARI) a(n,q=6)=local(A=Mat(1),B);if(n<0,0, for(m=1,n+2,B=matrix(m,m);for(i=1,m, for(j=1,i, if(j==i || j==1,B[i,j]=1,B[i,j]=(A^q)[i-1,j-1]);));A=B); return(sum(k=0,n,A[n+1,k+1])))
%Y A111827 Cf. A111825, A002577 (q=2), A078125 (q=3), A078537 (q=4), A111822 (q=5), A111832 (q=7), A111837 (q=8). Column 6 of A145515.
%K A111827 nonn
%O A111827 0,2
%A A111827 _Gottfried Helms_ and _Paul D. Hanna_, Aug 22 2005