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A032347 Inverse binomial transform of A032346. 6
1, 0, 1, 2, 6, 21, 82, 354, 1671, 8536, 46814, 273907, 1700828, 11158746, 77057021, 558234902, 4230337018, 33448622893, 275322101318, 2354401779494, 20878592918183, 191682453823420, 1819147694792802 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..22.

Branko Dragovich, On Summation of p-Adic Series, arXiv:1702.02569 [math.NT], 2017.

N. J. A. Sloane, Transforms

FORMULA

E.g.f. satisfies A' = exp(x) A - 1.

Recurrence: a(1)=0, a(2)=1, for n > 2, a(n) = 1 + Sum_{j=2..n-1} binomial(n-1, j)*a(j). - Jon Perry, Apr 26 2005

MATHEMATICA

a[0] = 1; a[1] = 0; a[n_] := a[n] = 1 + Sum[Binomial[n-1, j]*a[j], {j, 2, n-1}]; Table[a[n], {n, 0, 22}] (* Jean-Fran├žois Alcover, Oct 08 2013, after Jon Perry *)

CROSSREFS

Cf. A032346, A046934.

Sequence in context: A168653 A279567 A281784 * A032346 A148495 A150221

Adjacent sequences:  A032344 A032345 A032346 * A032348 A032349 A032350

KEYWORD

nonn,nice,easy,eigen

AUTHOR

Joe K. Crump (joecr(AT)carolina.rr.com)

STATUS

approved

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Last modified February 20 01:06 EST 2018. Contains 299357 sequences. (Running on oeis4.)