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

%I #12 Sep 08 2022 08:45:11

%S 1,3,15,140,2520,88704,6150144,843448320,229417943040,123987652771840,

%T 133311524260282368,285432092670742757376,1217843595395169098137600,

%U 10360289146303272377017958400,175805226564926843718814452940800

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

%H G. C. Greubel, <a href="/A086228/b086228.txt">Table of n, a(n) for n = 0..80</a>

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

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

%o (PARI) for(n=0, 30, print1(2^(n*(n-3)/2)*(n+1)*binomial(2*n+1, n), ", ")) \\ _G. C. Greubel_, Jan 25 2018

%o (Magma) [2^(n*(n-3)/2)*(n+1)*Binomial(2*n+1, n): n in [0..30]]; // _G. C. Greubel_, Jan 25 2018

%Y Cf. A001803.

%K nonn

%O 0,2

%A _Benoit Cloitre_, Aug 28 2003

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Last modified April 25 11:30 EDT 2024. Contains 371967 sequences. (Running on oeis4.)