cp's OEIS Frontend

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.

A053228 n for which second differences of sigma(n) are positive.

This page as a plain text file.
%I A053228 #10 Oct 27 2023 22:00:45
%S A053228 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,46,48,50,
%T A053228 52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92,94,96,
%U A053228 98,100,102,106,108,110,112,114,116,118,120,122,124,126,128,130,132
%N A053228 n for which second differences of sigma(n) are positive.
%H A053228 G. C. Greubel, <a href="/A053228/b053228.txt">Table of n, a(n) for n = 1..10000</a>
%p A053228 with(numtheory): seq(`if`(sigma(i+2)-sigma(i+1)>(sigma(i+1)-sigma(i)),i,print( )), i=1..142);
%t A053228 Select[Range[150], DivisorSigma[1, #+2] - DivisorSigma[1, #+1] > (DivisorSigma[1, # + 1] - DivisorSigma[1, #]) &] (* _G. C. Greubel_, Sep 03 2018 *)
%t A053228 Position[Differences[#,2]&/@Partition[DivisorSigma[1,Range[140]],3,1],_?(Positive[ #]&)][[All,1]] (* _Harvey P. Dale_, Jan 18 2023 *)
%Y A053228 Cf. A000203, A053223, A053229.
%K A053228 nonn
%O A053228 1,1
%A A053228 _Asher Auel_, Jan 10 2000