cp's OEIS Frontend

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.

A132008 Row sums of triangle A132007.

Original entry on oeis.org

1, 3, 14, 98, 954, 12242, 199156, 3988248, 96094356, 2735515916, 90647239704, 3453539346232, 149695821098056, 7316061672718152, 400012182207670288, 24301065118906010048, 1630456684740565109904, 120168318315515773499952
Offset: 0

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Author

Paul D. Hanna, Aug 07 2007

Keywords

Comments

Triangle T=A132007 is defined by: T(n,k) = T(n,k-1) + n*T(n-1,k-1) for n>=k>0, with T(n,0) = T(n-1,n-1) for n>0 and T(0,0) = 1; also, column 0 (A110083) obeys: T(n+1,0) = Sum_{k=0..n} (n!/k!)*C(n,k)*T(k,0).

Crossrefs

Programs

  • Mathematica
    T[n_, k_] := T[n, k] = If[k < 0 || n < k, 0, If[n == 0 && k == 0, 1, If[k == 0, T[n - 1, n - 1], T[n, k - 1] + n*T[n - 1, k - 1]]]]; Table[Sum[T[n, k], {k, 0, n}], {n, 0, 30}] (* G. C. Greubel, Dec 15 2017 *)
  • PARI
    { T(n, k)=if(k<0 || nG. C. Greubel, Dec 15 2017