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A052650 E.g.f. 1/((1-2x)(1-x)^2). 0
1, 4, 22, 156, 1368, 14400, 177840, 2530080, 40844160, 738823680, 14816390400, 326439590400, 7840777190400, 203947385241600, 5711834461132800, 171375956623872000, 5484386299392000000, 186475536553033728000 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 597

FORMULA

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

Recurrence: {a(0)=1, a(1)=4, (2*n^2+8*n+6)*a(n)+(-3*n-7)*a(n+1)+a(n+2)=0}

(4*2^n-3-n)*n!

a(n) = n!*A000295(n+2). - R. J. Mathar, Nov 27 2011

MAPLE

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

CROSSREFS

Sequence in context: A049376 A083410 A052772 * A198053 A197925 A112697

Adjacent sequences:  A052647 A052648 A052649 * A052651 A052652 A052653

KEYWORD

easy,nonn

AUTHOR

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

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Last modified February 15 04:23 EST 2012. Contains 205694 sequences.