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A066908
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n^n minus largest factorial less than or equal to n^n.
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0
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0, 0, 2, 3, 136, 2405, 6336, 460663, 13148416, 347503689, 3772979200, 198133379411, 7608426080256, 281952316704253, 4709633119830016, 316248789972027375, 16013842065532911616, 776149319714627324177
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Although this appears to be increasing rapidly and monotonically, Dave Rusin showed in the usenet discussion that a(4581631) is less than a(4581630): a(4581631)=4581631^4581631-4879731! is less than 8*10^30518328 while a(4581630) is just over 10^30518329.
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LINKS
| sci.math discussion
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FORMULA
| a(n)=n^n-A064318(n)!
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EXAMPLE
| a(4)=136 since 4^4=256, the largest factorial less than or equal to 256 is 5!=120 and 256-120=136
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CROSSREFS
| Cf. A000142, A000312, A064318.
Sequence in context: A007608 A010343 A118169 * A057738 A042073 A124236
Adjacent sequences: A066905 A066906 A066907 * A066909 A066910 A066911
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KEYWORD
| nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jan 22 2002
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