

A162200


Number on the positive y axis of the nth horizontal component in the graph of the "mountain path" function for prime numbers.


12



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
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OFFSET

1,3


COMMENTS

Note that the nth 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.


LINKS

Table of n, a(n) for n=1..73.
Omar E. Pol, Graph of the mountain path function for prime numbers
Omar E. Pol, Illustration: The mountain path of the primes


MAPLE

A031131 := proc(n) ithprime(n+2)ithprime(n) ; end: A052288 := proc(n) A031131(n)/2 ; end: A162201 := proc(n) if n <= 2 then 2*(n1); elif n mod 2 = 0 then A052288(n1) ; else 2A052288(n1) ; fi; end: A162200 := proc(n) add(A162201(j), j=1..n1) ; end: seq(A162200(n), n=1..150) ; # R. J. Mathar, Jul 15 2009


CROSSREFS

Cf. A000040, A006005, A008578, A162201, A162202, A162203, A162340, A162341, A162342, A162343, A162344.
Sequence in context: A284827 A241306 A266792 * A290289 A000019 A318196
Adjacent sequences: A162197 A162198 A162199 * A162201 A162202 A162203


KEYWORD

easy,nonn


AUTHOR

Omar E. Pol, Jun 28 2009


EXTENSIONS

Edited by Omar E. Pol, Jul 02 2009
More terms from R. J. Mathar, Jul 15 2009


STATUS

approved



