This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A075674 #7 Mar 30 2012 17:26:04
%S A075674 9,36,153,378,805,1576,2733,3818,5857,8006,10537,14812,19389,23472,
%T A075674 29757,36416,44067,52274,61307,71740,86195,104056,120463,138128,
%U A075674 158209,181160,205973,229728,255013,281608
%N A075674 Sum of next n odd interprimes.
%C A075674 Sum of next n primes in A007468. Sum of next n integer interprimes in A075673. Sum of next n even interprimes in A075675.
%e A075674 a(1) = (7+11)/2 = 9; a(2) = (13+17)/2+(19+23)/2 = 15 + 21 = 36.
%t A075674 (* sum of next n odd interprimes*) od=Select[Table[(Prime[i]+Prime[i+1])/2, {i, 2, 2000}], OddQ]; i1 := n(n-1)/2+1; i2 := n(n-1)/2+n; A075674=Table[Sum[od[[i]], {i, i1, i2}], {n, 30}]
%Y A075674 Cf. A007468, A075673, A075674, A075675.
%K A075674 nonn
%O A075674 1,1
%A A075674 _Zak Seidov_, Sep 24 2002