%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