%I A136612
%S A136612 3,6,4,8,4,8,8,6,12,6,8,8,8,10,8,12,6,8,10,6,12,12,10,10,8,4,8,16,8,20,
%T A136612 6,16,4,16,8,10,12,10,8,16,4,14,4,16,14,16,14,8,8,6,16,8,16,12,8,12,6,
               8,
%U A136612 14,16,14,16,8,16,10,24,8,14,8,12,12,14,10,12,12,10,16,14,10,20,4,16,6
%N A136612 ((Prime(n+3) + prime(n+1)) - (prime(n+2) + prime(n))).
%F A136612 a(n)=A001223(n)+A001223(n+2). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Apr 21 2008
%e A136612 2 + 5 = 7
%e A136612 3 + 7 = 10
%e A136612 5 + 11 = 16
%e A136612 7 + 13 = 20
%e A136612 ...
%e A136612 so the sequence is: 10 - 7 = 3,
%e A136612 16 - 10 = 6,
%e A136612 20 - 16 = 4,
%e A136612 28 - 20 = 8,
%e A136612 ...
%p A136612 A001223 := proc(n) ithprime(n+1)-ithprime(n) ; end: A136612 := proc(n) 
               A001223(n)+A001223(n+2) ; end: seq(A136612(n),n=1..100) ; - R. J. 
               Mathar (mathar(AT)strw.leidenuniv.nl), Apr 21 2008
%Y A136612 Cf. A000040.
%Y A136612 Sequence in context: A090963 A112374 A093064 this_sequence A004546 A154890 
               A100000
%Y A136612 Adjacent sequences: A136609 A136610 A136611 this_sequence A136613 A136614 
               A136615
%K A136612 easy,nonn
%O A136612 1,1
%A A136612 Odimar Fabeny (aifab(AT)yahoo.com.br), Apr 14 2008
%E A136612 Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Apr 21 2008