A125924 Sprague-Grundy values for octal game .34.

1, 0, 1, 2, 0, 1, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, 1, 2, 0, 3

Offset

1,4

Comments

Octal game .341 also has values a(n).

The sequence is eventually periodic with period 8. The last exception is at n=6.

This game is called Flanigan's game in Winning Ways.

References

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

Links

Table of n, a(n) for n=1..102.

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

Mathematica

Join[{1, 0, 1, 2, 0, 1}, LinearRecurrence[{0, 1, 0, -1, 0, 1}, {0, 3, 1, 2, 1, 2}, 96]] (* Ray Chandler, Aug 25 2015 *)

Crossrefs

Sequence in context: A128618 A363904 A125989 * A283929 A316401 A082513

Adjacent sequences: A125921 A125922 A125923 * A125925 A125926 A125927

Keyword

nonn

Author

Richard Sabey, Jan 24 2007

Extensions

Extended by Ray Chandler, Aug 25 2015

Status

approved