A162341 a(n) = number of grid points P(x,y) that are covered by a polyedge as the graph of the "mountain path" function for prime numbers, where x=n and y=0..oo.

1, 1, 3, 1, 4, 2, 4, 2, 4, 4, 5, 3, 6, 2, 4, 4, 7, 3, 5, 4, 4, 3, 6, 4, 8, 5, 4, 2, 4, 2, 10, 8, 6, 3, 7, 5, 5, 5, 6, 4, 7, 3, 7, 5, 4, 2, 8, 11, 9, 2, 4, 4, 5, 5, 9, 5, 7, 3, 5, 4, 4, 5, 13, 8, 4, 2, 10, 9, 9, 5, 4, 4, 8, 6, 7, 4, 6, 6, 7, 5, 10, 5, 7, 5, 5, 4, 6, 6, 7, 2, 4, 7, 11, 5, 7, 5, 6, 8, 8, 9, 13, 7, 9

Offset

0,3

Comments

Se also A162340.

Links

Table of n, a(n) for n=0..102.

Omar E. Pol, Graph of the mountain path function for prime numbers

Formula

a(n) = A052288(n-2) + (-1)^n for n>=3. [From Nathaniel Johnston, Nov 06 2010]

Crossrefs

Cf. A000040, A006005, A008578, A162200, A162201, A162202, A162203, A162340.

Sequence in context: A155481 A075148 A210722 * A066728 A279161 A222046

Adjacent sequences: A162338 A162339 A162340 * A162342 A162343 A162344

Keyword

nonn

Author

Omar E. Pol, Jul 01 2009

Extensions

Edited by Omar E. Pol, Jul 05 2009

More terms from Nathaniel Johnston, Nov 06 2010

Status

approved