A394063 a(n) = n^n * numerator(hypergeom([1, -n], [], -1/(n + 1))).

1, 3, 68, 1917, 401664, 2809375, 16566659136, 350278367733, 277512215068672, 2215691482173543, 999206096010000000000, 41261721591727098187, 875022890348679991381721088, 146962095746838665154927117, 242736376324124767477371682816, 1159657732881193616455352783203125

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Maple

P := n -> hypergeom([1, -n], [], -1/(n+1)): seq(n^n*numer(simplify(P(n))), n = 0..15);

Crossrefs

Cf. A394064 (denomiators), A036505, A393141.

Sequence in context: A324082 A279491 A264700 * A124181 A046432 A232326

Adjacent sequences: A394060 A394061 A394062 * A394064 A394065 A394066

Keyword

nonn,frac

Author

Peter Luschny, Mar 09 2026

Status

approved