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Let M_2n be the 2n X 2n matrix M_(i,j)=C(2i,j)-C(2j,i) where C(k,l) denotes the binomial coefficients; then a(n)=det(M_2n).
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%I #5 Mar 30 2012 18:38:57

%S 9,2401,7139584,7429060864,8768304271322176,

%T 55287838983612748529926144,28712457542131501655125523112656896,

%U 597353290725130889841630014909751870078582784

%N Let M_2n be the 2n X 2n matrix M_(i,j)=C(2i,j)-C(2j,i) where C(k,l) denotes the binomial coefficients; then a(n)=det(M_2n).

%C det(M_{2n+1})=0

%Y Cf. A005249, A060739, A067689.

%K easy,nonn

%O 1,1

%A _Benoit Cloitre_, Apr 21 2002