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 A078835 Sum of the divisors of the average of consecutive odd primes. 0
 7, 12, 13, 28, 24, 39, 32, 42, 72, 54, 56, 96, 78, 93, 120, 168, 127, 96, 195, 140, 121, 132, 128, 156, 216, 192, 280, 152, 360, 176, 204, 288, 403, 372, 288, 378, 288, 324, 372, 546, 384, 508, 336, 468, 252, 256, 403, 560, 384, 420, 744, 504, 384, 588, 480 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..55. FORMULA a(n) = A000203(A024675(n)). - Omar E. Pol, Dec 08 2019 EXAMPLE 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. MATHEMATICA Table[DivisorSigma[1, (Prime[i] + Prime[i + 1])/2], {i, 2, 101}] DivisorSigma[1, Mean[#]]&/@Partition[Prime[Range[2, 60]], 2, 1] (* Harvey P. Dale, Dec 07 2013 *) CROSSREFS Cf. A000203, A024675. Sequence in context: A205807 A075696 A061120 * A173417 A031021 A353444 Adjacent sequences: A078832 A078833 A078834 * A078836 A078837 A078838 KEYWORD easy,nonn AUTHOR Joseph L. Pe, Jan 11 2003 STATUS approved

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Last modified October 4 17:22 EDT 2023. Contains 365887 sequences. (Running on oeis4.)