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Search: id:A162200
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| A162200 |
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Number on the positive y axis of the n-th horizontal component in the graph of the "mountain path" function for prime numbers. |
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+0
10
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| 0, 0, 2, 2, 5, 4, 7, 6, 9, 6, 10, 8, 13, 12, 15, 12, 18, 16, 20, 17, 20, 18, 23, 20, 27, 23, 26, 25, 28, 27, 36, 29, 34, 32, 38, 34, 38, 34, 39, 36, 42, 40, 46, 42, 45, 44, 51, 41, 49, 48, 51, 48, 52, 48, 56, 52, 58, 56, 60, 57, 60, 56, 68, 61, 64, 63, 72, 64, 72, 68, 71, 68, 75
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Note that the n-th horizontal component is an edge with length equal to 1 (See the link: Graph of the mountain path function).
See A162201 for the first differences.
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LINKS
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O. E. Pol, Graph of the mountain path function for prime numbers
O. E. Pol, Illustration: The mountain path of the primes
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MAPLE
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A031131 := proc(n) ithprime(n+2)-ithprime(n) ; end: A052288 := proc(n) A031131(n)/2 ; end: A162201 := proc(n) if n <= 2 then 2*(n-1); elif n mod 2 = 0 then A052288(n-1) ; else 2-A052288(n-1) ; fi; end: A162200 := proc(n) add(A162201(j), j=1..n-1) ; end: seq(A162200(n), n=1..150) ; [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 15 2009]
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CROSSREFS
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Cf. A000040, A006005, A008578, A162201, A162202, A162203, A162340, A162341, A162342,A162343, A162344.
Sequence in context: A128971 A112923 A098366 this_sequence A000019 A081177 A007281
Adjacent sequences: A162197 A162198 A162199 this_sequence A162201 A162202 A162203
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KEYWORD
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easy,nonn
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), Jun 28 2009
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EXTENSIONS
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Edited by Omar E. Pol (info(AT)polprimos.com), Jul 02 2009
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 15 2009
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