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 A125795 #7 Mar 17 2023 21:49:07 %S A125795 1,6,36,286,3396,64350,2026564,109082974,10243585092,1704787839326, %T A125795 509106367263812,275575947307878750,272638898948894782532, %U A125795 496470192421055920965982,1674003944602430578138969156,10505662319550964196499807897950,123269344114733507237294056110191684 %N A125795 Column 5 of table A125790; also equals row sums of matrix power A078121^5. %C A125795 Triangle A078121 shifts left one column under matrix square and is related to partitions into powers of 2. %o A125795 (PARI) a(n)=local(p=5,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 A125795 Cf. A125790, A078121; columns: A002577, A125792, A125793, A125794, A125796; diagonals: A125797, A125798. %K A125795 nonn %O A125795 0,2 %A A125795 _Paul D. Hanna_, Dec 10 2006