A001968 v-pile positions of the 4-Wythoff game with i=3. (Formerly M2769 N1113)

3, 9, 14, 19, 24, 30, 35, 40, 45, 51, 56, 61, 66, 71, 77, 82, 87, 92, 98, 103, 108, 113, 119, 124, 129, 134, 140, 145, 150, 155, 161, 166, 171, 176, 181, 187, 192, 197, 202, 208, 213, 218, 223, 229, 234, 239, 244, 250, 255, 260, 265, 270, 276, 281, 286, 291

Offset

0,1

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+3/4)*(3+sqrt 5) ). - R. J. Mathar, Feb 14 2011

Mathematica

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

Crossrefs

Cf. A001967 (u-pile).

Sequence in context: A291641 A071346 A103813 * A305373 A111907 A309149

Adjacent sequences: A001965 A001966 A001967 * A001969 A001970 A001971

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Edited by Hugo Pfoertner, Dec 27 2021

Status

approved