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Search: id:A066857
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| A066857 |
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Smallest number k such that n! - k is a square |
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+0
3
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| 0, 1, 2, 8, 20, 44, 140, 320, 476, 3584, 12311, 4604, 74879, 414119, 2071775, 5703551, 11551671, 45680444, 442548224, 1960632176, 2657058876, 24923993276, 130518272975, 1478154932316, 5446454455004, 38610655379975
(list; graph; listen)
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OFFSET
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1,3
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FORMULA
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a(n) = A053186(n!) = n!-A048760(n!) = n!-floor(sqrt(n!))^2 = n!-A055226(n)^2.
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EXAMPLE
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a(10) = 3628800 - 1904 * 1904 = 3628800 - 3625216 = 3584.
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MATHEMATICA
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Table[n! - Floor[Sqrt[n! ]]^2, {n, 1, 27}]
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CROSSREFS
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Cf. A068869.
Sequence in context: A009303 A096586 A131128 this_sequence A058405 A133326 A024997
Adjacent sequences: A066854 A066855 A066856 this_sequence A066858 A066859 A066860
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jan 21, 2002
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 21 2002
Edited by Robert G. Wilson v (rgwv(AT)rgwv.com) and njas, Mar 22 2002
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