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A052795
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A simple grammar.
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0
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1, 1, 12, 306, 12144, 657720, 45239040, 3776965920, 371090522880, 41951580652800, 5364506808460800, 765606216965990400, 120639963305775513600, 20803502274492921984000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 752
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FORMULA
| E.g.f.: RootOf(-_Z+_Z^6*x+1)
Recurrence: {a(1)=1, a(2)=12, (-720-9864*n-48600*n^2-110160*n^3-116640*n^4-46656*n^5)*a(n)+(3125*n^4+9375*n^3+10000*n^2+4500*n+720)*a(n+1), a(6)=45239040, a(3)=306, a(4)=12144, a(5)=657720}
1/25*3^(1/2)*(5+5^(1/2))^(1/2)*(5-5^(1/2))^(1/2)*Pi^(1/2)*GAMMA(2*n+37/3)*GAMMA(2*n+38/3)/GAMMA(n+34/5)/GAMMA(n+33/5)/GAMMA(n+32/5)/GAMMA(n+36/5)*GAMMA(n+13/2)*3125^(-6-n)*2916^(n+6)
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MAPLE
| spec := [S, {B=Prod(Z, S, S, S, S, S), S=Sequence(B)}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);
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CROSSREFS
| Sequence in context: A109867 A014130 A054942 * A053064 A171094 A060010
Adjacent sequences: A052792 A052793 A052794 * A052796 A052797 A052798
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KEYWORD
| easy,nonn
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AUTHOR
| encyclopedia(AT)pommard.inria.fr, Jan 25 2000
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