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A052874 A simple grammar. 0
0, 0, 2, 15, 112, 925, 8556, 88249, 1007056, 12612681, 172092340, 2541367741, 40385290584, 687120886621, 12461362029676, 239945693311185, 4888311943969696, 105038684764873489, 2373935421890157156 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 845

FORMULA

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

Recurrence: {a(1)=0, a(0)=0, a(2)=2, (-n^4-6*n^3-11*n^2-6*n)*a(n)+(3*n^3+18*n^2+33*n+18)*a(n+1)+(-3*n^2-14*n-15)*a(n+2)+(n+2)*a(n+3)}

MAPLE

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

CROSSREFS

Sequence in context: A140637 A022026 A026113 * A074622 A031507 A052861

Adjacent sequences:  A052871 A052872 A052873 * A052875 A052876 A052877

KEYWORD

easy,nonn

AUTHOR

encyclopedia(AT)pommard.inria.fr, Jan 25 2000

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Last modified February 17 13:28 EST 2012. Contains 206031 sequences.