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Search: id:A062020
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| A062020 |
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Let P(n) = { 2,3,5,7,...,p(n) } where p(n) is n-th prime; then a(1) =0 and a(n) = Sum [mod{p(i) - p(j)}], for all i and j from 1 to n. |
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1
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| 0, 1, 6, 17, 44, 81, 142, 217, 324, 485, 666, 913, 1208, 1529, 1906, 2373, 2936, 3533, 4238, 5019, 5840, 6787, 7822, 8995, 10360, 11825, 13342, 14967, 16648, 18445, 20662, 23003, 25536, 28135, 31074, 34083, 37308, 40755, 44354, 48187, 52260
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OFFSET
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1,3
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FORMULA
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a(n) = a(n-1) + n*p(n) - Sum_{i = 1..n} p(i). a(n) = 2a(n-1) + (n-1)*(p(n)-p(n-1)) - a(n-2).
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EXAMPLE
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a(3) = (5-2) + (5-3) + (3-2) = 6, P(3) = {2,3,5}.
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CROSSREFS
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Sequence in context: A013319 A047861 A099858 this_sequence A066183 A048746 A026382
Adjacent sequences: A062017 A062018 A062019 this_sequence A062021 A062022 A062023
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 02 2001
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Jun 05 2001
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