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A052627
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E.g.f. (1-x)/(1-x-x^5).
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0
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1, 0, 0, 0, 0, 120, 720, 5040, 40320, 362880, 7257600, 119750400, 1916006400, 31135104000, 523069747200, 10461394944000, 230150688768000, 5335311421440000, 128047474114560000, 3162772610629632000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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LINKS
| INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 573
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FORMULA
| E.g.f.: (-1+x)/(-1+x^5+x)
Recurrence: {a(1)=0, a(0)=1, a(2)=0, a(4)=0, a(3)=0, (-n^5-15*n^4-274*n-120-85*n^3-225*n^2)*a(n) +(-5-n)*a(n+4) +a(n+5)=0}
Sum(-1/3381*(64+80*_alpha^4+100*_alpha^3+125*_alpha^2-689*_alpha)*_alpha^(-1-n), _alpha=RootOf(-1+_Z^5+_Z))*n!
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MAPLE
| spec := [S, {S=Sequence(Prod(Z, Z, Z, Z, Z, Sequence(Z)))}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);
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CROSSREFS
| Sequence in context: A052769 A179724 A052766 * A206025 A029573 A011245
Adjacent sequences: A052624 A052625 A052626 * A052628 A052629 A052630
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KEYWORD
| easy,nonn
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AUTHOR
| encyclopedia(AT)pommard.inria.fr, Jan 25 2000
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