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Search: id:A161626
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| A161626 |
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Sum of all numbers from 2*n-1 up to prime(n). |
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+0
1
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| 3, 3, 5, 7, 30, 36, 75, 85, 140, 264, 286, 450, 561, 595, 722, 966, 1242, 1296, 1612, 1815, 1881, 2257, 2496, 2924, 3577, 3876, 3978, 4293, 4399, 4730, 6298, 6693, 7373, 7519, 8829, 8991, 9775, 10591, 11102, 11970, 12870, 13068, 14766, 14980, 15587, 15805
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n) = A000217(A000040(n))-A000217(2*n-2).
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EXAMPLE
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a(1) = 1+2=3. a(2) = 3. a(3) = 5. a(5) = 9+10+11 = 30.
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MAPLE
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A000217 := proc(n) n*(n+1) /2 ; end:
A161626 := proc(n) A000217(ithprime(n))-A000217(2*n-2) ; end: seq(A161626(n), n=1..120) ; # R. J. Mathar, Oct 02 2009
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CROSSREFS
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Cf. A000027, A000040, A161570.
Sequence in context: A107029 A142712 A147095 this_sequence A105888 A123632 A039868
Adjacent sequences: A161623 A161624 A161625 this_sequence A161627 A161628 A161629
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KEYWORD
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nonn,easy
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 15 2009
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EXTENSIONS
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Edited and corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 02 2009
Inserted a zero in an A-number - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 23 2009
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