A076575 - OEIS

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A076575

a(0)=1 if n>0 a(n)=(-1)^(n+1)/(2n+1)*sum(k=0,n,4^(7k)*B(2k)*C(2n+1,2k)) where B(k) denotes the k-th Bernoulli number.

1, 2731, 8942387, 104670662071, 2400942582854087, 89402734746017557411, 4893960739529013452828987, 369582933150490997215583309551, 36809796323680462279091281973219087

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..8.

PROG

(PARI) a(n)=sum(i=0, n, 4^(7*i)*bernfrac(2*i)*binomial(2*n+1, 2*i))

CROSSREFS

Sequence in context: A104699 A116461 A266229 * A015423 A260543 A145647

Adjacent sequences: A076572 A076573 A076574 * A076576 A076577 A076578

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Oct 19 2002

STATUS

approved