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A076554 a(n)=(-1)^(n+1)/(2n+1)*sum(k=0,n,64^k*B(2k)*C(2n+1,2k)) where B(k) denotes the k-th Bernoulli number. 0

%I #5 Mar 30 2012 18:39:10

%S 11,115,5591,502855,73213571,15658809595,4619488631951,

%T 1797261609272335,891557677006596731,549227657514325603075,

%U 411352737726238344243911,368106640606171635113513815

%N a(n)=(-1)^(n+1)/(2n+1)*sum(k=0,n,64^k*B(2k)*C(2n+1,2k)) where B(k) denotes the k-th Bernoulli number.

%C a(2m-1) is of the form 10k+1, a(2m) is of the form 10k+5

%o (PARI) a(n)=(-1)^(n+1)/(2*n+1)*sum(k=0,n,64^k*bernfrac(2*k)*binomial(2*n+1,2*k))

%K nonn

%O 1,1

%A _Benoit Cloitre_, Oct 19 2002

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Last modified June 3 08:31 EDT 2024. Contains 373054 sequences. (Running on oeis4.)