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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
1, 9, 225, 12593, 1273185, 203040057, 46870307393, 14772264119265, 6093038643430977, 3184951975892962025, 2057288080685705015841, 1609059940237527517292049, 1498486085527475212138686625 (list; graph; refs; listen; history; text; internal format)
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

Sequence in context: A128492 A294971 A001818 * A138564 A285985 A330830

Adjacent sequences:  A095360 A095361 A095362 * A095364 A095365 A095366

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Jul 03 2004

STATUS

approved

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Last modified October 19 07:29 EDT 2021. Contains 348074 sequences. (Running on oeis4.)