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Search: id:A078835
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| A078835 |
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Sum of the divisors of the average of consecutive odd primes. |
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+0
1
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| 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; listen)
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OFFSET
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1,1
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EXAMPLE
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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.
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MATHEMATICA
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Table[DivisorSigma[1, (Prime[i] + Prime[i + 1])/2], {i, 2, 101}]
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CROSSREFS
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Sequence in context: A048653 A075696 A061120 this_sequence A031021 A153245 A062730
Adjacent sequences: A078832 A078833 A078834 this_sequence A078836 A078837 A078838
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KEYWORD
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easy,nonn
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AUTHOR
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Joseph L. Pe (Joseph_l_pe(AT)hotmail.com), Jan 11 2003
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