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

Offset: 0

Author

Benoit Cloitre, Aug 28 2003

Keywords

• nonn

Links

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

Crossrefs

Cf. A001803.

Programs

Magma

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

Mathematica

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

PARI

for(n=0, 30, print1(2^(n*(n-3)/2)*(n+1)*binomial(2*n+1, n), ", ")) \\ G. C. Greubel, Jan 25 2018

Formula

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