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%I #10 Jan 01 2022 16:25:26
%S 1,1,6,1,8,14,13,1,8,20,14,30,24,31,31,1,20,6,32,44,48,38,31,62,1,44,
%T 42,80,32,74,48,1,57,72,57,24,56,62,80,112,44,98,78,108,80,74,57,156,
%U 30,48,74,156,72,133,74,133,121,112,62,183,104,98,192,1,108,180,96,128,98,180,74,57,124,144,156,192,98
%N Sum of odd divisors of 1+sigma(n).
%H Antti Karttunen, <a href="/A336696/b336696.txt">Table of n, a(n) for n = 1..16384</a>
%H Antti Karttunen, <a href="/A336696/a336696.txt">Data supplement: n, a(n) computed for n = 1..65537</a>
%H <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%F a(n) = A000593(1+A000203(n)) = A000593(A088580(n)) = A000593(A332459(n)).
%t Table[Total[Select[Divisors[1+DivisorSigma[1,n]],OddQ]],{n,80}] (* _Harvey P. Dale_, Jan 01 2022 *)
%o (PARI)
%o A000593(n) = sigma(n>>valuation(n, 2));
%o A336696(n) = A000593(1+sigma(n));
%Y Cf. A000203, A000593, A088580, A193337, A324294, A332459, A336691, A336692, A336693, A336694, A336696.
%K nonn
%O 1,3
%A _Antti Karttunen_, Jul 31 2020