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Real parts of binomial transform of the Gaussian primes.
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%I #6 Feb 13 2022 22:54:05

%S 1,3,7,16,36,79,170,362,768,1629,3458,7344,15590,33039

%N Real parts of binomial transform of the Gaussian primes.

%D J. H. Conway and R. K. Guy, "The Book of Numbers", Springer-Verlag, 1996, p. 219.

%F Binomial transform of the positive Gaussian primes: (1, 1), (2, 1), (2, -1), (3, 0), (3, 2), (3, -2), (4, 1), (4, -1), (5, 2), (5, -2), ...; extracting the real parts.

%e a(3) = 7, the real part of (7,2) which is 1*(1,1) + 2*(2,1) + 1*(2,-1).

%K nonn

%O 1,2

%A _Gary W. Adamson_, May 03 2005