A125937 Sprague-Grundy values for octal game .7737.

1, 2, 3, 4, 5, 6, 2, 1, 8, 7, 4, 5, 9, 8, 1, 4, 5, 6, 7, 8, 1, 15, 6, 5, 4, 8, 2, 16, 11, 6, 5, 17, 1, 2, 3, 11, 8, 16, 2, 5, 22, 17, 6, 8, 18, 16, 1, 26, 5, 6, 8, 9, 26, 27, 6, 1, 28, 5, 8, 12, 15, 16, 5, 2, 23, 15, 8, 11, 28, 5, 2, 23, 32, 25, 11, 8, 1, 16, 32, 2, 5, 35, 8, 29, 26

Offset

1,2

Comments

Octal games 4.406, 4.407, 4.416, 4.417, 4.426, 4.427, 4.436, 4.437, 4.606, 4.607, 4.616, 4.617, 4.626, 4.627, 4.636 and 4.637 have values a(n-1).

The sequence is eventually periodic with period 44. The last exception is at n=294095.

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..85.

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

Crossrefs

Sequence in context: A165091 A192514 A105257 * A173526 A245342 A203580

Adjacent sequences: A125934 A125935 A125936 * A125938 A125939 A125940

Keyword

nonn

Author

Richard Sabey, Jan 24 2007

Status

approved