A374614 - OEIS

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A374614

a(n) = Sum_{k=0..n} (k/n)^2 * binomial(n,k)^5.

3

1, 9, 136, 2585, 54126, 1227492, 29226688, 723533337, 18438032890, 480994824134, 12787403151744, 345355150592036, 9451729196625184, 261628075707534720, 7313361005558843136, 206190939973811373593, 5857313490484652859282

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

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..17.

FORMULA

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

PROG

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

CROSSREFS

Cf. A005261, A374615, A374616.

Cf. A181067, A198256.

Sequence in context: A003376 A253879 A309189 * A231757 A156975 A081876

Adjacent sequences: A374611 A374612 A374613 * A374615 A374616 A374617

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jul 14 2024

STATUS

approved