A052834 - OEIS

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A052834

a(n) = Bell(n+1)-Bell(n)-1, n>0.

0, 0, 2, 9, 36, 150, 673, 3262, 17006, 94827, 562594, 3535026, 23430839, 163254884, 1192059222, 9097183601, 72384727656, 599211936354, 5150665398897, 45891416030314, 423145657921378, 4031845922290571, 39645290116637022, 401806863439720942, 4192631462935194063

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..24.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 801

FORMULA

E.g.f.: exp(exp(x)-1)*exp(x)-exp(x)-exp(exp(x)-1)+1.

a(n) = A005493(n-1)-1. - R. J. Mathar, Jun 03 2022

MAPLE

spec := [S, {B=Set(Z, 1 <= card), C=Set(B, 1 <= card), S=Prod(B, C)}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);

MATHEMATICA