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A143963 Binomial transform of A012245. 1
0, 1, 3, 6, 10, 15, 22, 35, 64, 129, 265, 528, 1002, 1807, 3108, 5125, 8144, 12529, 18735, 27322, 38970, 54495, 74866, 101223, 134897, 177450, 230906, 299313, 397621, 594210, 1188015, 3366352, 11425020, 39675229, 132473639, 418849690, 1253626158, 3564792787 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = Sum_{k=1..n} C(n,k)*A012245(k).

EXAMPLE

a(6) = [6,15,20,15,6,1]*[1,1,0,0,0,1] = 6+15+1 = 22.

MAPLE

a:= proc(n) local k, i, s; s:=0; k:=1; i:=1; while k<=n do s:= s+ binomial(n, k); i:=i+1; k:=k*i; od; s; end: seq (a(n), n=0..40);

CROSSREFS

Cf. A007318, A012245.

Sequence in context: A226239 A209231 A137358 * A139714 A262927 A063542

Adjacent sequences:  A143960 A143961 A143962 * A143964 A143965 A143966

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 05 2008

STATUS

approved

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Last modified September 21 17:46 EDT 2019. Contains 327273 sequences. (Running on oeis4.)