A001960 - OEIS

A001960

a(n) = floor((n+2/3)*(5+sqrt(13))/2); v-pile positions in the 3-Wythoff game.
(Formerly M1735 N0687)

2, 7, 11, 15, 20, 24, 28, 32, 37, 41, 45, 50, 54, 58, 63, 67, 71, 76, 80, 84, 88, 93, 97, 101, 106, 110, 114, 119, 123, 127, 131, 136, 140, 144, 149, 153, 157, 162, 166, 170, 174, 179, 183, 187, 192, 196, 200, 205, 209, 213, 218, 222, 226, 230, 235, 239, 243, 248

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

COMMENTS

3-Wythoff game, i=2, the v-pile positions in the Connell terminology. - R. J. Mathar, Feb 14 2011

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

MATHEMATICA

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

CROSSREFS

Complement of A001957.

Cf. A001954, A001958, A001959, A001963-A001968.

Sequence in context: A018308 A329868 A184485 * A174008 A140491 A122823

Adjacent sequences: A001957 A001958 A001959 * A001961 A001962 A001963

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

New name from Hugo Pfoertner, Dec 27 2021

STATUS

approved