A001958 v-pile numbers of the 3-Wythoff game with i=1.

1, 5, 10, 14, 18, 22, 27, 31, 35, 40, 44, 48, 53, 57, 61, 65, 70, 74, 78, 83, 87, 91, 96, 100, 104, 109, 113, 117, 121, 126, 130, 134, 139, 143, 147, 152, 156, 160, 164, 169, 173, 177, 182, 186, 190, 195, 199, 203, 207, 212, 216, 220, 225, 229, 233, 238, 242, 246

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

Programs

Mathematica

Table[Floor[(n + 1/3)*(5 + Sqrt[13])/2], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *)

Formula

a(n) = floor( (n+1/3) * (5+sqrt(13)) /2). - R. J. Mathar, Feb 14 2011

Extensions

Edited by Hugo Pfoertner, Dec 27 2021