Search: id:A162200
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%I A162200
%S A162200 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,
%T A162200 25,28,27,36,29,34,32,38,34,38,34,39,36,42,40,46,42,45,44,51,41,49,48,
%U A162200 51,48,52,48,56,52,58,56,60,57,60,56,68,61,64,63,72,64,72,68,71,68,75
%N A162200 Number on the positive y axis of the n-th horizontal component in the 
               graph of the "mountain path" function for prime numbers.
%C A162200 Note that the n-th horizontal component is an edge with length equal 
               to 1 (See the link: Graph of the mountain path function).
%C A162200 See A162201 for the first differences.
%H A162200 O. E. Pol, <a href="http://www.polprimos.com/imagenespub/polmpfpn.jpg"> 
               Graph of the mountain path function for prime numbers</a>
%H A162200 O. E. Pol, <a href="http://www.polprimos.com/imagenespub/polmpca1.jpg"> 
               Illustration: The mountain path of the primes</a>
%p A162200 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]
%Y A162200 Cf. A000040, A006005, A008578, A162201, A162202, A162203, A162340, A162341, 
               A162342,A162343, A162344.
%Y A162200 Sequence in context: A128971 A112923 A098366 this_sequence A000019 A081177 
               A007281
%Y A162200 Adjacent sequences: A162197 A162198 A162199 this_sequence A162201 A162202 
               A162203
%K A162200 easy,nonn
%O A162200 1,3
%A A162200 Omar E. Pol (info(AT)polprimos.com), Jun 28 2009
%E A162200 Edited by Omar E. Pol (info(AT)polprimos.com), Jul 02 2009
%E A162200 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 15 2009

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