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 A134275 #15 Sep 25 2024 09:44:49 %S A134275 1,5,1,45,5,1,585,70,5,1,9945,810,70,5,1,208845,14895,935,70,5,1, %T A134275 5221125,284895,16020,935,70,5,1,151412625,7055100,309645,16645,935, %U A134275 70,5,1,4996616625,192734100,7526475,315270,16645,935,70,5,1,184874815125 %N A134275 Triangle of numbers obtained from the partition array A134274. %C A134275 This triangle is named S2(5)'. %C A134275 In the same manner the unsigned Lah triangle A008297 is obtained from the partition array A130561. %H A134275 Wolfdieter Lang, <a href="/A134275/a134275.txt">First 10 rows and more</a>. %F A134275 a(n,m) = sum(product(S2(5;j,1)^e(n,m,q,j),j=1..n),q=1..p(n,m)) if n>=m>=1, else 0. Here p(n,m)=A008284(n,m), the number of m parts partitions of n and e(n,m,q,j) is the exponent of j in the q-th m part partition of n. S2(5;j,1)= A007696(j) = A049029(j,1) = (4*j-3)(!^4), (quadruple- or 4-factorials). %e A134275 Triangle begins: %e A134275 [1]; %e A134275 [5,1]; %e A134275 [45,5,1]; %e A134275 [585,70,5,1]; %e A134275 [9945,810,70,5,1]; %e A134275 ... %Y A134275 Cf. A134276 (row sums). A134277 (alternating row sums). %Y A134275 Cf. A134151 (S2(4)'). %K A134275 nonn,easy,tabl %O A134275 1,2 %A A134275 _Wolfdieter Lang_, Nov 13 2007