A086228 Determinant of n X n matrix M(i,j) = binomial(2i+1, j).

1, 3, 15, 140, 2520, 88704, 6150144, 843448320, 229417943040, 123987652771840, 133311524260282368, 285432092670742757376, 1217843595395169098137600, 10360289146303272377017958400, 175805226564926843718814452940800, 5952811852882173575477382393762938880

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..80

Formula

a(n) = 2^(n*(n-3)/2)*(n+1)*binomial(2*n+1, n).

a(n) ~ 2^((n^2+n+2)/2) * sqrt(n/Pi). - Amiram Eldar, Dec 09 2025

Mathematica

Table[2^(n*(n-3)/2)*(n+1)*Binomial[2*n+1, n], {n, 0, 30}] (* G. C. Greubel, Jan 25 2018 *)

Prog

(PARI) for(n=0, 30, print1(2^(n*(n-3)/2)*(n+1)*binomial(2*n+1, n), ", ")) \\ G. C. Greubel, Jan 25 2018
(Magma) [2^(n*(n-3)/2)*(n+1)*Binomial(2*n+1, n): n in [0..30]]; // G. C. Greubel, Jan 25 2018

Crossrefs

Cf. A001803.

Sequence in context: A270524 A179471 A203417 * A288456 A230367 A293844

Adjacent sequences: A086225 A086226 A086227 * A086229 A086230 A086231

Keyword

nonn,easy

Author

Benoit Cloitre, Aug 28 2003

Status

approved