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 A115030 #10 Aug 24 2012 09:07:55
%S A115030 1,3,6,11,22,35,52,71,94,123,154,191,232,275,322,375,434,495,562,633,
%T A115030 706,785,868,957,1054,1155,1258,1365,1474,1587,1714,1845,1982,2121,
%U A115030 2270,2421,2578,2741,2908,3081,3260,3441,3632,3825,4022,4221,4432,4655,4882
%N A115030 Number of distinct sums of subsets of the first n prime numbers.
%C A115030 a(n) = A007504(n) - 6 for n>3, the 6 numbers that can't be written as sum of distinct primes not greater A000040(n) are {1,4,6,s-6,s-4,s-1} with s=A007504(n).
%e A115030 n=4 (2, 3, 5 and 7): 2, 3, 5=2+3, 7=2+5, 8=3+5, 9=2+7,
%e A115030 10=2+3+5=3+7,
%e A115030 12=2+3+7=5+7, 14=2+5+7, 15=3+5+7 and 17=2+3+5+7:
%e A115030 a(4) = {2, 3, 5, 7, 8, 9, 10, 12, 14, 15, 17} = 11.
%Y A115030 Cf. A000586.
%K A115030 nonn
%O A115030 1,2
%A A115030 _Reinhard Zumkeller_, Feb 25 2006