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.

1, 9, 225, 12593, 1273185, 203040057, 46870307393, 14772264119265, 6093038643430977, 3184951975892962025, 2057288080685705015841, 1609059940237527517292049, 1498486085527475212138686625

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..13.

Prog

(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)

Crossrefs

Cf. A006519.

Sequence in context: A001818 A360435 A369059 * A138564 A285985 A330830

Adjacent sequences: A095360 A095361 A095362 * A095364 A095365 A095366

Keyword

nonn

Author

Benoit Cloitre, Jul 03 2004

Status

approved