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A059970
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Nim-factorials: a(1)=1 and, for n>1, a(n)=n*a(n-1), where * denotes Nim multiplication.
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3
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1, 2, 1, 4, 2, 11, 1, 8, 5, 9, 2, 4, 9, 4, 1, 16, 8, 140, 5, 82, 9, 145, 2, 44, 6, 108, 9, 154, 13, 209, 1, 32, 20, 132, 10, 243, 172, 123, 4, 139, 68, 62, 11, 222, 182, 92, 2, 16, 36, 224, 5, 242, 91, 24, 11, 105, 178, 56, 5, 241, 92, 205, 1, 64, 39, 20, 23, 161, 225, 53
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Conjectures: (1) Nim-Factorial(2^n-1)=1 (verified for n=1,2,3,...,16). (2) Nim-Factorial(2^n+2^(n-1)-1)=2 (verified for n=1,2,3,...,15).
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CROSSREFS
| Cf. A058734, A006042, A051917.
Sequence in context: A193359 A106489 A132280 * A112157 A093682 A187883
Adjacent sequences: A059967 A059968 A059969 * A059971 A059972 A059973
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KEYWORD
| nonn
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AUTHOR
| John W. Layman (layman(AT)math.vt.edu), Mar 05 2001
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EXTENSIONS
| Corrected by Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Nov 12 2005
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