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A062763
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Greatest common divisor of (n-1)! and n^n.
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2
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1, 1, 1, 2, 1, 24, 1, 16, 9, 640, 1, 20736, 1, 7168, 6075, 2048, 1, 23887872, 1, 8192000, 321489, 2883584, 1, 10319560704, 625, 54525952, 59049, 2877292544, 1, 835884417024000000, 1, 67108864, 578739249, 36507222016, 187578125
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| a(n)=1 iff n is 1 or a prime.
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,300
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FORMULA
| a(n) =A051696(n)/n
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EXAMPLE
| a(10)=GCD(9!,10^10)=GCD(2^7*3^4*5*7,2^10*5^10)=2^7*5=640
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PROG
| (PARI) { for (n=1, 300, if (n>1, f*=(n - 1), f=1); write("b062763.txt", n, " ", gcd(f, n^n)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 10 2009]
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CROSSREFS
| Sequence in context: A127607 A059360 A108778 * A037943 A073876 A119828
Adjacent sequences: A062760 A062761 A062762 * A062764 A062765 A062766
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KEYWORD
| nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jul 16 2001
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