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A069989 (-1)^(n+1)/2*sum(k=1,2n,C(2n+1,k)*B(k)*4^k) where C(n,k) are the binomial coefficients, B(k) the Bernoulli numbers. 0

%I

%S 1,13,213,6233,277865,17567973,1495207357,164827853233,22846356916689,

%T 3888897476494013,797512055521085861,193931677044463586313,

%U 55175478875457172546873,18157764800352633049290133

%N (-1)^(n+1)/2*sum(k=1,2n,C(2n+1,k)*B(k)*4^k) where C(n,k) are the binomial coefficients, B(k) the Bernoulli numbers.

%o (PARI) for(n=1,25,print1(-(-1)^n*sum(i=1,2*n,binomial(2*n+1,i)*bernfrac(i)*3^i)/2,","))

%K easy,nonn

%O 1,2

%A _Benoit Cloitre_, May 01 2002

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Last modified May 6 09:45 EDT 2021. Contains 343580 sequences. (Running on oeis4.)