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A069988
(-1)^(n+1)/6*sum(k=1,2n+1,C(2n+1,k)*B(k)*3^k) where C(n,k) are the binomial coefficients, B(k) the Bernoulli numbers.
0
0, 1, 8, 135, 3386, 120469, 5767884, 357666403, 27886211102, 2670067220337, 308003491726640, 42129829536116671, 6742323657098884098, 1248097176923675241805, 264614795104954119229076
OFFSET
1,3
PROG
(PARI) for(n=1, 25, print1(-(-1)^n*sum(i=1, 2*n+1, binomial(2*n+1, i)*bernfrac(i)*3^i)/6, ", "))
CROSSREFS
Sequence in context: A003375 A007032 A215553 * A229237 A291699 A292914
KEYWORD
easy,nonn
AUTHOR
Benoit Cloitre, May 01 2002
STATUS
approved