A162350 The path of the primes: Pairs (x,y) such that the points P(x,y) represent the position of the nonnegative integers in the graph of the "mountain path" function for prime numbers.

0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 6, 4, 6, 5, 6, 6, 6, 7, 7, 7, 7, 6, 8, 6, 8, 7, 8, 8, 8, 9, 9, 9, 9, 8, 9, 7, 9, 6, 10, 6, 10, 7, 10, 8, 10, 9, 10, 10, 11, 10, 11, 9, 11, 8, 12, 8, 12, 9, 12, 10

Offset

0,5

Links

Table of n, a(n) for n=0..73.

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

Omar E. Pol, Illustration: The path of the primes

Example

n ..... Point
0 ..... P(0,0)
1 ..... P(1,0)
2 ..... P(2,0)
3 ..... P(2,1)
4 ..... P(2,2)
5 ..... P(3,2)
6 ..... P(4,2)
7 ..... P(4,3)
8 ..... P(4,4)
9 ..... P(4,5)
10 .... P(5,5)
11 .... P(5,4)

Crossrefs

Cf. A000040, A006005, A008578, A162200, A162201, A162202, A162203, A162340, A162341, A162342, A162343, A162344, A162351, A162352.

Sequence in context: A045450 A347419 A029222 * A334305 A125922 A283306

Adjacent sequences: A162347 A162348 A162349 * A162351 A162352 A162353

Keyword

easy,nonn

Author

Omar E. Pol, Jul 03 2009

Status

approved