login
sum( C(n+1,k)*|S1(n,k)|, k=0..n). Binomial convolution of the Stirling numbers of the first kind.
3

%I #3 Oct 23 2012 04:17:12

%S 1,2,6,30,205,1750,17766,207942,2746815,40315858,649688072,

%T 11387466948,215440517656,4371810051908,94649397546302,

%U 2176321870192342,52938365091640943,1357592080006964806,36593629200726397630,1033979281229140895582,30552322294916306960625

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

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

%Y Shifted version of A211210. S1 Analog of A134094.

%K nonn

%O 0,2

%A _Olivier GĂ©rard_, Oct 23 2012