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A347606 Number of partitions of n^n into exactly n parts. 2
0, 1, 2, 61, 117874, 33219689231, 2559960025059106420, 85975912953927216830024650654, 1841153609473379088124269084031755459049386 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 18 10:28 EDT 2022. Contains 353807 sequences. (Running on oeis4.)