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A232982
The Gauss factorial n_6!.
1
1, 1, 1, 1, 1, 5, 5, 35, 35, 35, 35, 385, 385, 5005, 5005, 5005, 5005, 85085, 85085, 1616615, 1616615, 1616615, 1616615, 37182145, 37182145, 929553625, 929553625, 929553625, 929553625, 26957055125, 26957055125, 835668708875, 835668708875, 835668708875, 835668708875, 29248404810625, 29248404810625
OFFSET
0,6
The Gauss factorial n_k! is defined to be Product_{1<=j<=n, gcd(j,k)=1} j.
J. B. Cosgrave and K. Dilcher, An introduction to Gauss factorials, Amer. Math. Monthly, 118 (2011), 810-828.
J. B. Cosgrave and K. Dilcher, The Gauss-Wilson theorem for quarter-intervals, Acta Mathematica Hungarica, Sept. 2013.
MAPLE
Gf:=proc(N, n) local j, k; k:=1;
for j from 1 to N do if gcd(j, n)=1 then k:=j*k; fi; od; k; end;
f:=n->[seq(Gf(N, n), N=0..40)];
f(6);
PROG
(Magma) k:=6; [IsZero(n) select 1 else &*[j: j in [1..n] | IsOne(GCD(j, k))]: n in [0..40]]; // Bruno Berselli, Dec 10 2013
CROSSREFS
The Gauss factorials n_1!, n_2!, n_3!, n_5!, n_6!, n_7!, n_10!, n_11! are A000142, A055634, A232980-A232985 respectively.
Sequence in context: A208950 A160672 A355952 * A160555 A067047 A374508
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 08 2013
STATUS
approved

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Last modified September 20 14:15 EDT 2024. Contains 376072 sequences. (Running on oeis4.)