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A113329
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a(n) = Sum_{k=0..n} 4^k*A111146(n,k).
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6
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1, 4, 32, 272, 2400, 21792, 203008, 1940224, 19065344, 193410560, 2038078464, 22490167296, 262429339648, 3271314362368, 43955391856640, 640254018879488, 10121874150653952, 173145693892509696, 3186234896556752896
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| G.f.: A(x) = 1/(1 - 4/3!*x*Sum(k>=0} (k+3)!*x^k ).
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EXAMPLE
| A(x) = (1 + 4*x + 32*x^2 + 272*x^3 + 2400*x^4 + 21792*x^5 +..)
= 1/(1 - 4/3!*x*(3! + 4!*x + 5!*x^2 + 6!*x^3 + 7!*x^4 +..) ).
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PROG
| (PARI) {a(n)=local(y=4, x=X+X*O(X^n)); polcoeff(1/(1 - y/(y-1)!*x*sum(k=0, n, (y-1+k)!*x^k)), n, X)}
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CROSSREFS
| Cf. A111146, A113326, A113327 (y=2), A113328 (y=3), A113330 (y=5), A113331 (y=6).
Sequence in context: A009509 A036725 A065089 * A145710 A199566 A110901
Adjacent sequences: A113326 A113327 A113328 * A113330 A113331 A113332
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KEYWORD
| nonn
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr) and Paul D. Hanna (pauldhanna(AT)juno.com), Oct 26 2005
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