A125927 Sprague-Grundy values for octal game .53.

0, 1, 1, 2, 2, 1, 0, 2, 2, 4, 0, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1

Offset

0,4

Comments

Octal game .531 also has values a(n).

The sequence is eventually periodic with period 9. The last exception is at n=10.

References

E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982; see Chapter 4, p. 104.

Guy, R. K. and Smith, C. A. B.; The G-values of various games. Proc. Cambridge Philos. Soc. 52 (1956), 514-526. See Table 2.

Links

Table of n, a(n) for n=0..100.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 1).

Mathematica

Join[{0, 1, 1, 2, 2, 1, 0, 2, 2, 4, 0}, LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 2, 2, 1, 1, 2, 2, 4, 1}, 90]] (* Ray Chandler, Aug 26 2015; changed by N. J. A. Sloane, Jul 02 2016 *)

Crossrefs

Sequence in context: A299485 A246785 A084934 * A285864 A092869 A029337

Adjacent sequences: A125924 A125925 A125926 * A125928 A125929 A125930

Keyword

nonn

Author

Richard Sabey, Jan 24 2007

Extensions

Extended by Ray Chandler, Aug 26 2015

Added initial 0 and changed offset. - N. J. A. Sloane, Jul 02 2016

Status

approved