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 A125796 #7 Mar 17 2023 21:48:02 %S A125796 1,7,49,455,6321,140231,5174449,326603719,35994670257,7036275790791, %T A125796 2470183452677297,1573137497080468423,1832597507832323118257, %U A125796 3932481446278522861786055,15637033863127787477309461681,115814953429924513361085880079303,1604893891765170672173387008222303409 %N A125796 Column 6 of table A125790; also equals row sums of matrix power A078121^6. %C A125796 Triangle A078121 shifts left one column under matrix square and is related to partitions into powers of 2. %o A125796 (PARI) a(n)=local(p=6,q=2,A=Mat(1), B); for(m=1, n+1, 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(c=0,n,(A^p)[n+1,c+1])) %Y A125796 Cf. A125790, A078121; columns: A002577, A125792, A125793, A125794, A125795; diagonals: A125797, A125798. %K A125796 nonn %O A125796 0,2 %A A125796 _Paul D. Hanna_, Dec 10 2006