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Search: id:A099850
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| A099850 |
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Sum of the first n terms of A004648 (the remainder after dividing n-th prime by n). |
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+0
4
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| 0, 1, 3, 6, 7, 8, 11, 14, 19, 28, 37, 38, 40, 41, 43, 48, 56, 63, 73, 84, 94, 107, 121, 138, 160, 183, 205, 228, 250, 273, 276, 279, 284, 287, 296, 303, 312, 323, 334, 347, 362, 375, 394, 411, 428, 443, 466, 497, 528, 557, 586, 617, 646, 681, 718, 757, 798, 837
(list; graph; listen)
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OFFSET
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1,3
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
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FORMULA
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a(n) = sum(m=1, n, A004648(m))
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EXAMPLE
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A004648 begins: 0, 1, 2, 3, 1, 1, 3, 3, 5, 9, 9,... so the partial sums are 0, 1, 3, 6, 7, 8, 11, 14, 19, 28, 37,...
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PROGRAM
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(PARI) s=vector(100):s[1]=prime(1)%1:for(n=2, 100, s[n]=s[n-1]+prime(n)%n)
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CROSSREFS
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Cf. A004648.
Adjacent sequences: A099847 A099848 A099849 this_sequence A099851 A099852 A099853
Sequence in context: A050244 A047283 A047557 this_sequence A139451 A081291 A034091
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KEYWORD
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easy,nonn
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Oct 27 2004
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