A099357 From P-positions in a certain game.

0, 2, 5, 7, 18, 33, 51, 53, 75, 77, 103, 105, 135, 137, 171, 174, 176, 218, 220, 266, 268, 318, 320, 374, 376, 434, 436, 498, 500, 567, 637, 639, 713, 715, 793, 795, 877, 879, 965, 967, 1057, 1059, 1153, 1155, 1253, 1255, 1358, 1465, 1575, 1577

Offset

0,2

Comments

Table 10 in Fraenkel is incorrect from n=6 onward. - Nathaniel Johnston, Apr 28 2011

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..10000

A. S. Fraenkel, New games related to old and new sequences, INTEGERS, Electronic J. of Combinatorial Number Theory, Vol. 4, Paper G6, 2004.

Formula

See A099356.

Maple

a:=proc(n) option remember: local j, t: if(n=0)then return 0: else t:=a(n-1)+1: for j from 0 to n-1 do if(t=b(j))then return t+1: elif(t<b(j))then break: fi: od: return t: fi: end:
b:=proc(n) option remember: if(n=0)then return 0: else return b(n-1) + (-1)^a(n-1)*a(n-1) + a(n) + 1: fi: end:
seq(b(n), n=0..70); # Nathaniel Johnston, Apr 28 2011

Crossrefs

Cf. A099352 - A099356.

Sequence in context: A045357 A168035 A247323 * A306918 A027038 A341322

Adjacent sequences: A099354 A099355 A099356 * A099358 A099359 A099360

Keyword

nonn,easy

Author

N. J. A. Sloane, Nov 16 2004

Extensions

Edited and corrected by Nathaniel Johnston, Apr 28 2011

Status

approved