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Search: id:A004989
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A004989 (3^n/n!)*product_{ k=0..n-1 } (3*k - 2). +0
2
1, -6, -9, -36, -189, -1134, -7371, -50544, -360126, -2640924, -19806930, -151252920, -1172210130, -9197341020, -72921775230, -583374201840, -4703454502335, -38180983607190, -311811366125385, -2560135427134740 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n) ~ -2/3*Gamma(1/3)^-1*n^(-5/3)*3^(2*n)*{1 + 5/9*n^-1 + ...}

G.f.: A(x) = (1-9x)^(2/3).

PROGRAM

(PARI) a(n)=if(n<0, 0, prod(k=0, n-1, 3*k-2)*3^n/n!)

CROSSREFS

Cf. A004988.

Adjacent sequences: A004986 A004987 A004988 this_sequence A004990 A004991 A004992

Sequence in context: A100096 A057397 A038263 this_sequence A126110 A098662 A056425

KEYWORD

sign

AUTHOR

Joe Keane (jgk(AT)jgk.org)

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Last modified October 9 14:06 EDT 2008. Contains 144831 sequences.


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