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 A136172 #4 Jun 13 2015 10:28:35 %S A136172 1,2,9,105,2702,154609,19092682,5161046609,3089394167519, %T A136172 4175309542037953,12956948188014836324,93772653247517510010693, %U A136172 1603175184493001749597050954,65450800470044797091307950768285 %N A136172 Column 1 of triangle A136170. %o A136172 (PARI) /* Generate using matrix power method: */ a(n)=local(A=Mat(1), B); for(m=1, n+2, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i, B[i, j]=1, B[i, j]=(A^(fibonacci(i-1)))[i-1, j]); )); A=B); return( ((A)[n+2, 2])) %o A136172 (PARI) /* Generate using partial sums method: */ a(n)=local(A=vector(n+1), p); A[1]=1; for(j=1, n, p=fibonacci(n+3)-fibonacci(n-j+3)-j; A=Vec((Polrev(A)+x*O(x^p))/(1-x))); A[ #A] %Y A136172 Cf. A136170, A136171, A136173. %K A136172 nonn %O A136172 0,2 %A A136172 _Paul D. Hanna_, Dec 17 2007