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1, 1, 1, 1, 2, 1, 12, 1, 8, 3, 1440, 1, 17280, 3, 112, 45, 29030400, 1, 522547200, 3, 12800, 945, 4828336128000, 1, 38626689024, 4725, 512512000, 2025, 3796230997278720000, 1, 113886929918361600000, 42525, 10436608000, 1403325, 551910745571328, 175
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,5
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LINKS
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EXAMPLE
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The positive integers which are <= 10 and are coprime to 10 are 1,3,7,9. So a(10) = 1*3*7*9/lcm(1,3,7,9) = 189/63 = 3.
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MATHEMATICA
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Table[s = Select[Range[1, n], GCD[#, n] == 1 &]; (Times @@ s)/(LCM @@ s), {n, 30}] (* T. D. Noe, Oct 04 2012 *)
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PROG
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(Sage)
def Gauss_factorial(N, n): return mul(j for j in (1..N) if gcd(j, n) == 1)
def L(N, n): return lcm([j for j in (1..N) if gcd(j, n) == 1])
def A128247(n): return Gauss_factorial(n, n)/L(n, n)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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