A001964 v-pile positions of the 4-Wythoff game with i=1. (Formerly M4086 N1695)

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

0,2

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

Formula

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

Mathematica

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

Crossrefs

Cf. A001963 (u-pile).

Sequence in context: A315515 A315516 A315517 * A315518 A315519 A315520

Adjacent sequences: A001961 A001962 A001963 * A001965 A001966 A001967

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Edited by Hugo Pfoertner, Dec 27 2021

Status

approved