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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 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.)