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A059970 Nim-factorials: a(1)=1 and, for n>1, a(n)=n*a(n-1), where * denotes Nim multiplication. 3
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; text; internal format)
OFFSET
1,2
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).
LINKS
MAPLE
A059970 := proc(n)
option remember;
if n =1 then
1;
else
A051775(n, procname(n-1)) ;
end if;
end proc: # R. J. Mathar, Jul 28 2016 based on the program in b051775.txt
PROG
(PARI) See Links section.
CROSSREFS
Sequence in context: A106489 A132280 A345734 * A326889 A309303 A245471
KEYWORD
nonn
AUTHOR
John W. Layman, Mar 05 2001
EXTENSIONS
Corrected by Gerald McGarvey, Nov 12 2005
STATUS
approved

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Last modified March 28 17:25 EDT 2024. Contains 371254 sequences. (Running on oeis4.)