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A238466
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Generalized ordered Bell numbers Bo(9,n).
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2
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1, 9, 171, 4869, 184851, 8772309, 499559571, 33190014069, 2520110222451, 215270320769109, 20431783142389971, 2133148392099721269, 242954208655633344051, 29977118969127060357909, 3983272698956314883956371, 567091857051921058649396469
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listen;
history;
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internal format)
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OFFSET
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0,2
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COMMENTS
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Row 9 of array A094416, which has more information.
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LINKS
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FORMULA
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E.g.f.: 1/(10 - 9*exp(x)).
a(0) = 1; a(n) = 9*a(n-1) - 10*Sum_{k=1..n-1} (-1)^k * binomial(n-1,k) * a(n-k). - Seiichi Manyama, Nov 17 2023
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MATHEMATICA
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t=30; Range[0, t]! CoefficientList[Series[1/(10 - 9 Exp[x]), {x, 0, t}], x]
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PROG
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(Magma) m:=20; R<x>:=LaurentSeriesRing(RationalField(), m); b:=Coefficients(R!(1/(10 - 9*Exp(x)))); [Factorial(n-1)*b[n]: n in [1..m]];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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