A059970 Nim-factorials: a(1)=1 and, for n>1, a(n)=n*a(n-1), where * denotes Nim multiplication.

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

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

Rémy Sigrist, Table of n, a(n) for n = 1..8192

Rémy Sigrist, PARI program for A059970

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

Cf. A058734, A006042, A051917.

Sequence in context: A106489 A132280 A345734 * A326889 A309303 A245471

Adjacent sequences: A059967 A059968 A059969 * A059971 A059972 A059973

Keyword

nonn

Author

John W. Layman, Mar 05 2001

Extensions

Corrected by Gerald McGarvey, Nov 12 2005

Status

approved