This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A162200 Number on the positive y axis of the n-th 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS 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. LINKS 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*(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) ; # 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 19 23:59 EDT 2019. Contains 327207 sequences. (Running on oeis4.)