A001964 v-pile positions of the 4-Wythoff game with i=1.

1, 6, 11, 17, 22, 27, 32, 37, 43, 48, 53, 58, 64, 69, 74, 79, 85, 90, 95, 100, 106, 111, 116, 121, 126, 132, 137, 142, 147, 153, 158, 163, 168, 174, 179, 184, 189, 195, 200, 205, 210, 215, 221, 226, 231, 236, 242, 247, 252, 257, 263, 268, 273, 278, 284, 289

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

See Connell (1959) for further information.

References

• N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
• 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

Crossrefs

Cf. A001963 (u-pile).

Programs

Mathematica

Table[Floor[(n + 1/4)*(Sqrt[5] + 3)], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *)

Formula

a(n) = floor( (n+1/4)*(3+sqrt(5)) ). - R. J. Mathar, Feb 14 2011

Extensions

Edited by Hugo Pfoertner, Dec 27 2021