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 A134134 #10 Aug 28 2019 16:59:55 %S A134134 1,2,1,6,2,1,24,10,2,1,120,36,10,2,1,720,204,44,10,2,1,5040,1104,228, %T A134134 44,10,2,1,40320,7776,1272,244,44,10,2,1,362880,57600,8760,1320,244, %U A134134 44,10,2,1,3628800,505440,63936,9096,1352,244,44,10,2,1 %N A134134 Triangle of numbers obtained from the partition array A134133. %C A134134 In the same manner the unsigned Lah triangle A008297 is obtained from the partition array A130561. %H A134134 W. Lang, <a href="/A134134/a134134.txt">First 10 rows and more</a>. %F A134134 a(n,m)=sum(product(j!^e(n,m,k,j),j=1..n),k=1..p(n,m)) if n>=m>=1, else 0, with p(n,m)=A008284(n,m), the number of m parts partitions of n and e(n,m,k,j) is the exponent of j in the k-th m part partition of n. %e A134134 [1];[2,1];[6,2,1];[24,10,2,1];[120,36,10,2,1];... %e A134134 a(4,2)=10 from the sum over the numbers related to the partitions (1,3) and (2^2), namely %e A134134 1!^1*3!^1 + 2!^2 = 6+4 = 10. %Y A134134 Row sums A077365. Alternating row sums A134135. %K A134134 nonn,easy,tabl %O A134134 1,2 %A A134134 _Wolfdieter Lang_, Oct 12 2007