A094592 a(n)=1/det(M(n)) where M(n) is the n X n matrix with element 1/binomial(n+i+j,n).

1, 3, 900, 16464000, 19061082810000, 1438322180987553878016, 7234500281404807826660044800000, 2467969483765439710971533630106501120000000, 57890048623245006314340348578620467200657513085300000000, 94407600969939573520489734345595974314037478855066745044992000000000000

Offset

0,2

Links

Robert Israel, Table of n, a(n) for n = 0..33

Maple

f:= proc(n) 1/LinearAlgebra:-Determinant(Matrix(n, n, (i, j) -> 1/binomial(n+i+j, n))) end proc: f(0):= 1:
map(f, [$0..12]); # Robert Israel, Feb 17 2026

Prog

(PARI) a(n)=1/matdet(matrix(n, n, i, j, 1/binomial(n+i+j, n)))

Crossrefs

Cf. A062381, A067689.

Sequence in context: A253578 A167472 A199040 * A210768 A332193 A167058

Adjacent sequences: A094589 A094590 A094591 * A094593 A094594 A094595

Keyword

nonn

Author

Benoit Cloitre, Jun 05 2004

Extensions

a(8)-a(9) from Robert Israel, Feb 17 2026

Status

approved