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A328810 a(n) = Sum_{i=0..n} binomial(n,i)*Sum_{j=0..i} binomial(i,j)^n. 3
1, 3, 11, 93, 2583, 260613, 99915029, 144072750195, 808177412109895, 16892305881120020613, 1388286655114683125139201, 423109739462061163278604529475, 511885816860737850466697173188711669, 2296554708428991868313593456071099604464483 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..59

FORMULA

a(n) ~ A167010(n). - Vaclav Kotesovec, Oct 28 2019

MATHEMATICA

Table[Sum[Binomial[n, i]*Sum[Binomial[i, j]^n, {j, 0, i}], {i, 0, n}], {n, 0, 15}] (* Vaclav Kotesovec, Oct 28 2019 *)

PROG

(PARI) {a(n) = sum(i=0, n, binomial(n, i)*sum(j=0, i, binomial(i, j)^n))}

CROSSREFS

Main diagonal of A328807.

Cf. A167010, A328811.

Sequence in context: A091547 A063854 A066384 * A120587 A086914 A123996

Adjacent sequences:  A328807 A328808 A328809 * A328811 A328812 A328813

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 28 2019

STATUS

approved

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Last modified November 28 19:48 EST 2021. Contains 349415 sequences. (Running on oeis4.)