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 A078835 #9 Dec 08 2019 12:28:45
%S A078835 7,12,13,28,24,39,32,42,72,54,56,96,78,93,120,168,127,96,195,140,121,
%T A078835 132,128,156,216,192,280,152,360,176,204,288,403,372,288,378,288,324,
%U A078835 372,546,384,508,336,468,252,256,403,560,384,420,744,504,384,588,480
%N A078835 Sum of the divisors of the average of consecutive odd primes.
%F A078835 a(n) = A000203(A024675(n)). - _Omar E. Pol_, Dec 08 2019
%e A078835 The first pair of consecutive odd primes is 3,5, with average = 4 and sigma(4) = 7. Hence a(1) = 7. The second pair of consecutive odd primes is 5,7, with average = 6 and sigma(6) = 12, so a(2) = 12.
%t A078835 Table[DivisorSigma[1, (Prime[i] + Prime[i + 1])/2], {i, 2, 101}]
%t A078835 DivisorSigma[1,Mean[#]]&/@Partition[Prime[Range[2,60]],2,1] (* _Harvey P. Dale_, Dec 07 2013 *)
%Y A078835 Cf. A000203, A024675.
%K A078835 easy,nonn
%O A078835 1,1
%A A078835 _Joseph L. Pe_, Jan 11 2003