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A054736 Smallest losing position after your opponent has taken k stones in a variation of "Fibonacci Nim". 0
4, 8, 11, 15, 21, 29, 40, 55, 76 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

In Fibonacci Nim the first player takes any number of stones (except all) and then each player takes no more than twice the amount taken by in the previous move. This sequence concerns the game where 2 is replaced by 3.

REFERENCES

R. K. Guy, Fair Game

EXAMPLE

If your opponent has just removed 1 or 2 stones from the pile leaving you with 8, then you lose. Any fewer stones after your opponent has taken 2 will be a win for you.

CROSSREFS

Sequence in context: A081840 A080055 A186926 * A024626 A186147 A023491

Adjacent sequences:  A054733 A054734 A054735 * A054737 A054738 A054739

KEYWORD

nonn

AUTHOR

Ken Levasseur (Kenneth_Levasseur(AT)uml.edu), Apr 22 2000

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Last modified February 17 10:57 EST 2012. Contains 206009 sequences.