A162800 a(n) = n-th grid point that is covered by the zig-zag function for prime numbers such that the grid point is a vertex in the graph of the function.

0, 2, 4, 6, 9, 12, 15, 18, 21, 26, 30, 34, 39, 42, 45, 50, 56, 60, 64, 69, 72, 76, 81, 86, 93, 99, 102, 105, 108, 111, 120, 129, 134, 138, 144, 150, 154, 160, 165, 170, 176, 180, 186, 192, 195, 198, 205, 217, 225, 228, 231, 236, 240, 246, 254, 260, 266, 270, 274, 279

Offset

0,2

Comments

Also {0, 2} together the numbers A024675.

See A162345 for the first differences.

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Mathematica

Join[{0, 2}, Most[#] + Differences[#]/2] & [Prime[Range[2, 100]]] (* Paolo Xausa, Jun 17 2024 *)

Crossrefs

Cf. A000040, A006005, A024675, A058296, A079424, A162345, A162801, A162802.

Sequence in context: A067850 A130240 A143118 * A083652 A296349 A325544

Adjacent sequences: A162797 A162798 A162799 * A162801 A162802 A162803

Keyword

easy,nonn

Author

Omar E. Pol, Jul 16 2009

Extensions

Edited by Omar E. Pol, Jul 18 2009

Status

approved