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A052728
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A simple context-free grammar in a labeled universe.
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0
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0, 0, 2, 12, 168, 2880, 64080, 1723680, 54633600, 1992936960, 82261267200, 3790579161600, 192895381324800, 10744251136819200, 650181362358528000, 42476922345521664000, 2979716339168464896000, 223385082959833546752000
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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FORMULA
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E.g.f.: (1/2)/(x^2+1+2*x)*(1-2*x-2*x^2-(1-4*x-4*x^2)^(1/2))
Recurrence: {a(1)=0, a(2)=2, a(3)=12, (-4*n^3-16*n^2-20*n-8)*a(n) +(-8*n^2-26*n-20)*a(n+1) +(-2-3*n)*a(n+2) +a(n+3) =0.
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MAPLE
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spec := [S, {B=Union(S, Z, C), S=Prod(B, B), C=Prod(S, Z)}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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encyclopedia(AT)pommard.inria.fr, Jan 25 2000
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STATUS
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approved
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