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A242081 Nim sequence of game on n counters whose legal moves are removing some number of counters in A242079. 0
0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

For all n, a(n)=0, a(n)=1, or a(n)=2.

For all n, a(n)=0 if and only if a(n+1)=1.

This sequence is aperiodic if and only if A242079 is infinite.

REFERENCES

E. R. Berlekamp, J. H. Conway and R. K. Guy, "Winning Ways", pp. 83-86

LINKS

Table of n, a(n) for n=0..99.

N. Fox, Aperiodic Subtraction Games, Talk given at the Rutgers Experimental Mathematics Seminar, May 01 2014.

CROSSREFS

Cf. A242079.

Sequence in context: A029410 A242082 A159917 * A190487 A054528 A025884

Adjacent sequences:  A242078 A242079 A242080 * A242082 A242083 A242084

KEYWORD

nonn

AUTHOR

Nathan Fox, May 03 2014

STATUS

approved

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Last modified January 19 20:41 EST 2020. Contains 331066 sequences. (Running on oeis4.)