A001958 v-pile numbers of the 3-Wythoff game with i=1. (Formerly M3794 N1547)

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

0,2

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

Mathematica

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

Crossrefs

Sequence in context: A313483 A313484 A212448 * A313485 A313486 A313487

Adjacent sequences: A001955 A001956 A001957 * A001959 A001960 A001961

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Edited by Hugo Pfoertner, Dec 27 2021

Status

approved