A162350 - OEIS

%I #3 Mar 11 2014 01:34:15

%S 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,

%T 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,

%U 11,9,11,8,12,8,12,9,12,10

%N 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.

%H Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polmpfpn.jpg">Graph of the mountain path function for prime numbers</a>

%H Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polmpca1.jpg">Illustration: The path of the primes</a>

%e n ..... Point

%e 0 ..... P(0,0)

%e 1 ..... P(1,0)

%e 2 ..... P(2,0)

%e 3 ..... P(2,1)

%e 4 ..... P(2,2)

%e 5 ..... P(3,2)

%e 6 ..... P(4,2)

%e 7 ..... P(4,3)

%e 8 ..... P(4,4)

%e 9 ..... P(4,5)

%e 10 .... P(5,5)

%e 11 .... P(5,4)

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

%K easy,nonn

%O 0,5

%A _Omar E. Pol_, Jul 03 2009