A347606 Number of partitions of n^n into exactly n parts.

0, 1, 2, 61, 117874, 33219689231, 2559960025059106420, 85975912953927216830024650654, 1841153609473379088124269084031755459049386

Offset

0,3

Links

Table of n, a(n) for n=0..8.

Formula

a(n) = [x^(n^n-n)] Product_{k=1..n} 1/(1-x^k).

Prog

(PARI) a(n) = polcoef(prod(k=1, n, 1/(1-x^k+x*O(x^(n^n-n)))), n^n-n);

Crossrefs

Cf. A206240, A304176, A347605, A347607.

Sequence in context: A190681 A181005 A289644 * A094478 A273090 A106133

Adjacent sequences: A347603 A347604 A347605 * A347607 A347608 A347609

Keyword

nonn,more

Author

Seiichi Manyama, Sep 08 2021

Status

approved