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A242079 a(1)=1. a(n)=smallest integer greater than 2*a(n-1) such that the Nim sequence of the first n terms is ternary, periodic and not equal to the Nim sequence of the first n-1 terms. 2
1, 4, 12, 28, 73, 163, 343, 867, 1915, 4011, 8203 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

In the sequence definition, "Nim sequence of a set" means "Nim sequence of the subtraction game with that subtraction set."

This sequence is not known to be infinite.

If this sequence is infinite, then its Nim sequence is ternary and aperiodic.

REFERENCES

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

LINKS

Table of n, a(n) for n=1..11.

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

CROSSREFS

Sequence in context: A034508 A173380 A002932 * A302763 A121312 A091521

Adjacent sequences:  A242076 A242077 A242078 * A242080 A242081 A242082

KEYWORD

nonn

AUTHOR

Nathan Fox, May 03 2014

STATUS

approved

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Last modified February 26 05:51 EST 2020. Contains 332277 sequences. (Running on oeis4.)