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A191493 Binomial row sums of triangle A191490. 2
1, 2, 7, 36, 245, 2071, 20813, 241344, 3161473, 46056783, 737269244, 12845501191, 241719339485, 4881205089541, 105209993413879, 2409362123140160, 58389484394798549, 1492265790284314961, 40096619357257356256, 1129638216589178869291 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..64

MATHEMATICA

f[n_, k_] := f[n, k] = f[n - 1, k] + (n - 1)f[n - 1, k - 1] + If[n == k, 1, 0]

f[_, 0] = 1;

f[0, _] = 0;

Table[Sum[Binomial[n, k]f[n, k], {k, 0, n}], {n, 0, 100}]

PROG

(Maxima) P[0]:1$

P[n]:=(1+(n-1)*q)*P[n-1]+q^n$

makelist(sum(binomial(n, k)*coeff(expand(P[n]), q^k), k, 0, n), n, 0, 24);

CROSSREFS

Cf. A191490.

Sequence in context: A088313 A201197 A185754 * A095793 A029768 A180271

Adjacent sequences:  A191490 A191491 A191492 * A191494 A191495 A191496

KEYWORD

nonn

AUTHOR

Emanuele Munarini, Jun 03 2011

STATUS

approved

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Last modified June 17 00:17 EDT 2021. Contains 345080 sequences. (Running on oeis4.)