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A052603 E.g.f. (1-x)^3/(1-4x+3x^2-x^3). 0
1, 1, 8, 78, 984, 15480, 292320, 6441120, 162207360, 4595512320, 144662112000, 5009199148800, 189221439052800, 7743449813299200, 341258374762905600, 16113703632009984000, 811588993992032256000, 43431603596770701312000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 548

FORMULA

E.g.f.: (-1+x)^3/(-1+4*x-3*x^2+x^3)

Recurrence: {a(1)=1, a(0)=1, a(2)=8, (-11*n-6-n^3-6*n^2)*a(n)+(18+3*n^2+15*n)*a(n+1)+(-4*n-12)*a(n+2)+a(n+3)=0, a(3)=78}

Sum(-1/31*(5*_alpha+3*_alpha^2-6)*_alpha^(-1-n), _alpha=RootOf(-1+4*_Z-3*_Z^2+_Z^3))*n!

MAPLE

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

CROSSREFS

Sequence in context: A058480 A000435 A052698 * A071556 A316203 A303507

Adjacent sequences:  A052600 A052601 A052602 * A052604 A052605 A052606

KEYWORD

easy,nonn

AUTHOR

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

STATUS

approved

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Last modified October 23 06:29 EDT 2018. Contains 316520 sequences. (Running on oeis4.)