A125923 Sprague-Grundy values for octal game .3337.

1, 2, 3, 4, 0, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 0, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4

Offset

1,2

Comments

Octal games .226, .227, .236 and .237 have values a(n-1).

The sequence is eventually periodic with period 5. The last exception is at n=19.

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..104.

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

Mathematica

Join[{1, 2, 3, 4, 0, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 0}, LinearRecurrence[{0, 0, 0, 0, 1}, {5, 1, 2, 3, 4}, 85]] (* Ray Chandler, Aug 25 2015 *)

Crossrefs

Sequence in context: A278182 A309956 A125926 * A071513 A060511 A082853

Adjacent sequences: A125920 A125921 A125922 * A125924 A125925 A125926

Keyword

nonn

Author

Richard Sabey, Jan 24 2007

Extensions

Extended by Ray Chandler, Aug 25 2015

Status

approved