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 A125115 #49 Oct 21 2020 09:09:32 %S A125115 6,2,4,6,6,4,2,6,6,2,4,6,4,2,6,2,4,4,2,6,4,2,2,4,4,2,6,6,6,6,2,4,6,6, %T A125115 4,2,6,6,2,4,6,6,4,2,2,4,4,2,6,4,2,2,4,6,6,6,6,6,2,4,6,2,4,4,2,6,6,6, %U A125115 4,2,2,4,6,2,4,6,6,4,2,6,2 %N A125115 Differences between consecutive abundant numbers. %C A125115 One may think that a(n) is always even and greater than 1. This is not the case as can be seen with A096399 or A228382. - _Michel Marcus_, Aug 21 2013 %H A125115 Muniru A Asiru, <a href="/A125115/b125115.txt">Table of n, a(n) for n = 1..10000</a> %F A125115 From _Amiram Eldar_, Oct 21 2020: (Start) %F A125115 a(n) = A005101(n+1) - A005101(n). %F A125115 Asymptotic mean: lim_{n->oo} (1/n) Sum_{k=1..n} a(k) = 1/A302991 = 4.0384... (End) %e A125115 a(1) = 6 because 18 - 12 = 6; a(4) = 6 because 30 - 24 = 6. %t A125115 #[[2]] - #[[1]]&/@Partition[Select[Range[300], DivisorSigma[1, #] > 2# &], 2, 1] (* _Harvey P. Dale_, Dec 02 2006 *) %t A125115 Differences[Select[Range[300], DivisorSigma[1, #] > 2# &]] (* _Alonso del Arte_, Apr 29 2019 *) %o A125115 (PARI) lista(nn) = {lastab = 0; for (i=1, nn, if (sigma(i) > 2*i,if (lastab, print1(i - lastab, ", ")); lastab = i;););} \\ _Michel Marcus_, Aug 21 2013 %o A125115 (GAP) A:=Filtered([1..350],n->Sigma(n)>2*n);; a:=List([1..Length(A)-1],i->A[i+1]-A[i]); # _Muniru A Asiru_, Jun 09 2018 %Y A125115 Cf. A005101, A096399, A228382, A302991. %K A125115 easy,nonn %O A125115 1,1 %A A125115 _Jason G. Wurtzel_, Nov 21 2006 %E A125115 More terms from _Michel Marcus_, Aug 21 2013