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A143963 Binomial transform of A012245. 1

%I

%S 0,1,3,6,10,15,22,35,64,129,265,528,1002,1807,3108,5125,8144,12529,

%T 18735,27322,38970,54495,74866,101223,134897,177450,230906,299313,

%U 397621,594210,1188015,3366352,11425020,39675229,132473639,418849690,1253626158,3564792787

%N Binomial transform of A012245.

%H Alois P. Heinz, <a href="/A143963/b143963.txt">Table of n, a(n) for n = 0..1000</a>

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

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

%p 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);

%Y Cf. A007318, A012245.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Sep 05 2008

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Last modified October 15 18:26 EDT 2019. Contains 328037 sequences. (Running on oeis4.)