%I #16 Nov 30 2017 17:25:01

%S 2,4,4,16,4,16,4,16,64,4,64,16,4,16,64,64,4,64,16,4,64,16,64,256,16,4,

%T 16,4,16,16384,16,64,4,1024,4,64,64,16,64,64,4,1024,4,16,4,4096,4096,

%U 16,4,16,64,4,1024,64,64,64,4,64,16,4,1024,16384,16,4,16

%N a(n) = 2^(prime(n+1) - prime(n)).

%C Except for the first term, all terms are powers of 4.

%F a(n) = 2^A001223(n).

%t Table[2^(Prime[k + 1] - Prime[k]), {k, 100}] (* _T. D. Noe_, Nov 14 2012 *)

%t 2^(#[[2]]-#[[1]])&/@Partition[Prime[Range[70]],2,1] (* _Harvey P. Dale_, Nov 30 2017 *)

%Y Cf. A001223, A000302.

%K nonn,easy

%O 1,1

%A _Giovanni Teofilatto_, Oct 20 2012