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A071074 Sprague-Grundy values for the game of Double Kayles (octal game .7777). 4
0, 1, 2, 3, 4, 5, 6, 7, 3, 2, 8, 9, 7, 6, 5, 4, 3, 2, 8, 9, 4, 5, 12, 13, 9, 8, 2, 3, 4, 5, 15, 14, 3, 2, 8, 9, 7, 6, 5, 4, 3, 2, 8, 9, 13, 12, 15, 14, 9, 8, 2, 3, 4, 5, 16, 17, 10, 11, 8, 9, 14, 15, 5, 4, 3, 2, 16, 17, 13, 12, 15, 14, 9, 8, 2, 3, 4, 5, 6, 7, 3, 2, 8, 9, 14, 15, 5, 4, 3, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Sequence is eventually periodic with period 24. The last exception is at n=141. - Eric M. Schmidt, Jan 11 2017

REFERENCES

E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 98.

J. H. Conway, On Numbers and Games, Second Edition. A K Peters, Ltd, 2001, p. 129.

Guy, R. K. and Smith, C. A. B.; The G-values of various games. Proc. Cambridge Philos. Soc. 52 (1956), 514-526. See page 521.

LINKS

Eric M. Schmidt, Table of n, a(n) for n = 0..200

Achim Flammenkamp, Octal games

FORMULA

Let b=A002186. Cases A, B: b(n)=0, 2, 5, 7. Cases C, D: b(n)=1, 3, 4, 6, 8. Cases A, C: n even. Cases B, D: n odd. Cases A, D: a(2n)=2*b(n), a(2n+1)=2*b(n)+1. Cases B, C: a(2n)=2*b(n)+1, a(2n+1)=2*b(n).

CROSSREFS

Cf. A002186.

Sequence in context: A066990 A097449 A104415 * A279648 A066323 A245347

Adjacent sequences: A071071 A071072 A071073 * A071075 A071076 A071077

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 26 2002

EXTENSIONS

Edited and extended by Christian G. Bower, Oct 22 2002

STATUS

approved

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Last modified December 9 17:12 EST 2022. Contains 358702 sequences. (Running on oeis4.)