A377743 - OEIS

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A377743

E.g.f. satisfies A(x) = exp(x) / (1 - x * A(x))^3.

4

1, 4, 43, 853, 25141, 989581, 48885187, 2910389875, 202958554057, 16233163690537, 1465257396236551, 147359765665925143, 16341437664329027389, 1981169884084699982701, 260701144663332062732491, 37007345616327485166160651, 5637148375602304430334748945, 917186940500490837457393476817

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

FORMULA

a(n) = n! * Sum_{k=0..n} (k+1)^(n-k-1) * binomial(4*k+2,k)/(n-k)!.

PROG

(PARI) a(n) = n!*sum(k=0, n, (k+1)^(n-k-1)*binomial(4*k+2, k)/(n-k)!);

CROSSREFS

Cf. A194471, A377742, A377744.

Cf. A373324, A377504.

Sequence in context: A074702 A197717 A277456 * A317140 A152282 A153255

Adjacent sequences: A377740 A377741 A377742 * A377744 A377745 A377746

KEYWORD

nonn,new

AUTHOR

Seiichi Manyama, Nov 06 2024

STATUS

approved