A001959 u-pile numbers for the 3-Wythoff game with i=2. (Formerly M0541)

0, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 19, 20, 21, 23, 24, 25, 26, 28, 29, 30, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 45, 46, 47, 49, 50, 51, 52, 54, 55, 56, 58, 59, 60, 62, 63, 64, 66, 67, 68, 69, 71, 72, 73, 75, 76, 77, 79, 80, 81, 82, 84, 85, 86, 88

Offset

0,2

Comments

See Connell (1959) for further information.

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

T. D. Noe, Table of n, a(n) for n = 0..10000

Ian G. Connell, A generalization of Wythoff's game, Canad. Math. Bull. 2 (1959) 181-190

Formula

a(n) = floor( (n+2/3)*(sqrt(13)-1)/2 ). - R. J. Mathar, Feb 14 2011

Mathematica

Table[Floor[(n + 2/3)*(Sqrt[13] - 1)/2], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *)

Crossrefs

Cf. A001954, A001958, A001960, A001963-A001968.

Sequence in context: A023799 A267306 A376665 * A263135 A119930 A173552

Adjacent sequences: A001956 A001957 A001958 * A001960 A001961 A001962

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Edited by Hugo Pfoertner, Dec 27 2021

Status

approved