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A125824
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Denominator of n!/3^n.
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3
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1, 3, 9, 9, 27, 81, 81, 243, 729, 243, 729, 2187, 2187, 6561, 19683, 19683, 59049, 177147, 59049, 177147, 531441, 531441, 1594323, 4782969, 4782969, 14348907, 43046721, 4782969, 14348907, 43046721, 43046721, 129140163, 387420489
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OFFSET
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0,2
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LINKS
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FORMULA
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a(0)=1, a(3n+2) = 3^(n+2)*a(n), a(3n+1) = 3^(n+1)*a(n), a(3n) = 3^n*a(n).
a(n) = denominator((1/(2*Pi)) * Integral_{t=0..2*Pi} exp(i*3*t)(-((Pi-t)/i)^n), i=sqrt(-1). - Paul Barry, Apr 02 2007
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MATHEMATICA
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Table[Denominator[n!/3^n], {n, 0, 40}] (* G. C. Greubel, Aug 03 2019 *)
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PROG
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(PARI) a(n)=denominator(n!/3^n)
(Magma) [Denominator(Factorial(n)/3^n): n in [0..40]]; // G. C. Greubel, Aug 03 2019
(Sage) [denominator(factorial(n)/3^n) for n in (0..40)] # G. C. Greubel, Aug 03 2019
(GAP) List([0..40], n-> DenominatorRat(Factorial(n)/3^n) ); # G. C. Greubel, Aug 03 2019
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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