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A232985
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The Gauss factorial n_11!.
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7
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1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 3628800, 43545600, 566092800, 7925299200, 118879488000, 1902071808000, 32335220736000, 582033973248000, 11058645491712000, 221172909834240000, 4644631106519040000, 4644631106519040000, 106826515449937920000, 2563836370798510080000
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OFFSET
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0,3
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COMMENTS
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The Gauss factorial n_k! is defined to be Product_{1<=j<=n, gcd(j,k)=1} j.
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LINKS
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MAPLE
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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(11);
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PROG
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(Magma) k:=11; [IsZero(n) select 1 else &*[j: j in [1..n] | IsOne(GCD(j, k))]: n in [0..30]]; // Bruno Berselli, Dec 10 2013
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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