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A071405
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(1/2)*(sum(k=0,p,C(p,k)*C(p+k,k)) - 2^p -1 )/p^2 where p runs through the primes.
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0
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1, 3, 33, 495, 186135, 4171377, 2466841857, 63503364807, 45502121922063, 1000280542916542065, 28769246281107682239, 725108164366019776175793, 647570641899231298169462337, 19531524543125261885413183191
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