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A052722 A simple context-free grammar in a labeled universe. 0
0, 0, 0, 0, 0, 120, 3600, 100800, 3024000, 99792000, 3632428800, 145297152000, 6351561216000, 301699157760000, 15487223431680000, 854894733428736000, 50516506975334400000, 3182539939446067200000, 212985365178313728000000 (list; graph; refs; listen; history; internal format)
OFFSET

0,6

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 678

FORMULA

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

Recurrence: {a(1)=0, a(2)=0, a(4)=0, a(3)=0, a(5)=120, (-2*n^2+22*n+20-4*n^3)*a(n)+(19*n-14+13*n^2)*a(n+1)+(-7*n-9)*a(n+2)+a(n+3)}

MAPLE

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

CROSSREFS

Sequence in context: A060490 A158048 A183266 * A139389 A166596 A000514

Adjacent sequences:  A052719 A052720 A052721 * A052723 A052724 A052725

KEYWORD

easy,nonn

AUTHOR

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

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Last modified February 14 13:08 EST 2012. Contains 205623 sequences.