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A099357
From P-positions in a certain game.
2
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
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
Sequence in context: A045357 A168035 A247323 * A306918 A027038 A341322
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Nov 16 2004
EXTENSIONS
Edited and corrected by Nathaniel Johnston, Apr 28 2011
STATUS
approved

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