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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
OFFSET
0,2
LINKS
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.
Sequence in context: A091547 A063854 A066384 * A120587 A086914 A123996
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 28 2019
STATUS
approved