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 A185351 #30 Jul 14 2016 00:19:37 %S A185351 0,6,28,34,496,502,524,530,8128,8134,8156,8162,8624,8630,8652,8658, %T A185351 33550336,33550342,33550364,33550370,33550832,33550838,33550860, %U A185351 33550866,33558464,33558470,33558492,33558498,33558960,33558966,33558988,33558994,8589869056 %N A185351 Sums of distinct perfect numbers. %C A185351 The first 131072 terms of this sequence are even. Conjecturally, all terms are even. %C A185351 Numbers in the range of the sum of perfect divisors function (A187794). - _Timothy L. Tiffin_, Jul 13 2016 %H A185351 Charles R Greathouse IV, <a href="/A185351/b185351.txt">Table of n, a(n) for n = 1..10000</a> %e A185351 502 = 496 + 6, where 496 and 6 are perfect. %t A185351 With[{perf = Select[Range[10000], DivisorSigma[1, #] == 2# &]}, Rest[Union[Total/@Subsets[perf]]]] (* _Harvey P. Dale_, Feb 07 2012 *) %o A185351 (PARI) vecsum(v)=sum(i=1,#v,v[i]); %o A185351 v=apply(n->binomial(n+1,2), select(k->ispseudoprime(k), vector(15,n,2^prime(n)-1))); u=List();for(i=0,2^#v-1,listput(u,vecsum(vecextract(v,i))));vecsort(Vec(u)) \\ _Charles R Greathouse IV_, Feb 09 2012 %Y A185351 Cf. A083865, A204879, A187794. %K A185351 nonn %O A185351 1,2 %A A185351 _Charles R Greathouse IV_, Feb 09 2012