A125938 Sprague-Grundy values for octal game 4.102.

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

Offset

1,4

Comments

Octal games 4.103, 4.112 and 4.113 also have values a(n).

The sequence is eventually periodic with period 10. The last exception is at n=7.

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..107.

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

Mathematica

Join[{1, 1, 1, 2, 2, 2, 0}, LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {4, 4, 2, 1, 1, 1, 2, 2, 2, 1}, 100]] (* Ray Chandler, Aug 26 2015 *)
PadRight[{1, 1, 1, 2, 2, 2, 0}, 120, {1, 1, 1, 2, 2, 2, 1, 4, 4, 2}] (* Harvey P. Dale, Apr 26 2018 *)

Crossrefs

Sequence in context: A261444 A000091 A155123 * A215461 A158851 A151930

Adjacent sequences: A125935 A125936 A125937 * A125939 A125940 A125941

Keyword

nonn

Author

Richard Sabey, Jan 24 2007

Extensions

Extended by Ray Chandler, Aug 26 2015

Status

approved