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A095363 a(n) = (-1)^n*b(2n-1,2) where b(n,p) = Sum_{k=0..n} p^k*C(2*k,k)*C(n+k,n-k)*B(k) and B(k) = k-th Bernoulli number. 0

%I #8 Jan 01 2024 02:17:08

%S 1,9,225,12593,1273185,203040057,46870307393,14772264119265,

%T 6093038643430977,3184951975892962025,2057288080685705015841,

%U 1609059940237527517292049,1498486085527475212138686625

%N a(n) = (-1)^n*b(2n-1,2) where b(n,p) = Sum_{k=0..n} p^k*C(2*k,k)*C(n+k,n-k)*B(k) and B(k) = k-th Bernoulli number.

%C Denominator of a(n)/(n*(2n-1)) = A006519(n).

%o (PARI) b(n,p)=sum(k=0,n,(p)^k*binomial(2*k,k)*binomial(n+k,n-k)*bernfrac(k)); a(n)=(-1)^n*b(2*n-1,2)

%Y Cf. A006519.

%K nonn

%O 1,2

%A _Benoit Cloitre_, Jul 03 2004

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