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A064546
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Remainder when (n!)^2 is divided by n^n.
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1
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0, 0, 9, 64, 1900, 5184, 695310, 15089664, 346348629, 8189440000, 170553548176, 4519967588352, 202522159449675, 8500218417954816, 265594041953296875, 3543051899458551808, 454740628232312103872, 5853583711033675481088
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,100
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FORMULA
| a(n)= (n!)^2 mod n^n
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EXAMPLE
| a(5) = 1900 because (5!)^2 = 14400 = 1900 (mod 5^5=3125).
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PROG
| (PARI) { for (n=1, 100, write("b064546.txt", n, " ", (n!)^2 % n^n) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 18 2009]
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CROSSREFS
| Cf. A063709.
Sequence in context: A037484 A013566 A056769 * A067961 A104127 A043426
Adjacent sequences: A064543 A064544 A064545 * A064547 A064548 A064549
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KEYWORD
| easy,nonn
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AUTHOR
| Floor van Lamoen (fvlamoen(AT)hotmail.com), Oct 09 2001
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