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A001968 Wythoff game.
(Formerly M2769 N1113)
3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

v-pile positions of the 4-Wythoff game, i=3 (Connell).

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: A092476 A071346 A103813 * A111907 A195972 A274435

Adjacent sequences:  A001965 A001966 A001967 * A001969 A001970 A001971

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 21 17:54 EDT 2017. Contains 290892 sequences.