A211211 sum( C(n+1,k)*|S1(n,k)|, k=0..n). Binomial convolution of the Stirling numbers of the first kind.

1, 2, 6, 30, 205, 1750, 17766, 207942, 2746815, 40315858, 649688072, 11387466948, 215440517656, 4371810051908, 94649397546302, 2176321870192342, 52938365091640943, 1357592080006964806, 36593629200726397630, 1033979281229140895582, 30552322294916306960625

Offset: 0

Author

Olivier Gérard, Oct 23 2012

Keywords

• nonn

Crossrefs

Shifted version of A211210. S1 Analog of A134094.

Programs

Mathematica

Table[Sum[Binomial[n + 1, k] Abs[StirlingS1[n, k]], {k, 0, n}], {n, 0, 20}]