A365192 - OEIS

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A365192

G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 - x*A(x)^2).

1, 1, 6, 48, 443, 4445, 47107, 518835, 5880223, 68130860, 803369481, 9609294542, 116310009888, 1421951861817, 17533301767624, 217796367181117, 2722942699583650, 34236790400004432, 432649744252128084, 5492060945760586212, 69998993052214823013

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n) = Sum_{k=0..n} binomial(2*n+3*k+1,k) * binomial(n-1,n-k)/(2*n+3*k+1).

PROG

(PARI) a(n) = sum(k=0, n, binomial(2*n+3*k+1, k)*binomial(n-1, n-k)/(2*n+3*k+1));

CROSSREFS

Cf. A002295, A243667, A349332, A364748, A365193, A365194.

Cf. A365186.

Sequence in context: A085457 A188911 A364923 * A365187 A319292 A261834

Adjacent sequences: A365189 A365190 A365191 * A365193 A365194 A365195

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Aug 25 2023

STATUS

approved