A125922 Sprague-Grundy values for octal game .316.

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

Offset

1,2

Comments

The sequence is eventually periodic with period 12. The last exception is at n=3.

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..99.

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

Formula

a(n) = a(n-2) - a(n-6) + a(n-8). - Wesley Ivan Hurt, Oct 20 2022

Mathematica

Join[{1, 2, 0}, LinearRecurrence[{0, 1, 0, 0, 0, -1, 0, 1}, {2, 1, 2, 3, 0, 1, 0, 3}, 96]] (* Ray Chandler, Aug 27 2015 *)

Crossrefs

Sequence in context: A029222 A162350 A334305 * A283306 A182893 A206298

Adjacent sequences: A125919 A125920 A125921 * A125923 A125924 A125925

Keyword

nonn

Author

Richard Sabey, Jan 24 2007

Extensions

Corrected formula. - Paolo P. Lava, Oct 23 2008

Extended by Ray Chandler, Aug 27 2015

Status

approved