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Search: id:A060151
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| A060151 |
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Number of base n digits required to write n!. |
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+0
3
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| 1, 2, 2, 3, 3, 4, 5, 6, 6, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 30, 31, 32, 33, 34, 34, 35, 36, 37, 38, 38, 39, 40, 41, 42, 43, 43, 44, 45, 46, 47, 47, 48, 49, 50, 51, 51, 52, 53, 54, 55, 56, 56, 57
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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FORMULA
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a(n) =1+floor[log(n!)/log(n)] =A060151(n)+1
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EXAMPLE
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a(6)=4 since 6!=720=3200 base 6
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PROGRAM
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(PARI) { default(realprecision, 10); for (n=1, 1000, if (n==1, a=1, a=1 + floor(log(n!)/log(n))); write("b060151.txt", n, " ", a); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 02 2009]
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CROSSREFS
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Cf. A011776 for number of final zeros of n! written in base n. See also A039960.
Sequence in context: A062298 A116579 A156253 this_sequence A097330 A086861 A113865
Adjacent sequences: A060148 A060149 A060150 this_sequence A060152 A060153 A060154
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KEYWORD
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base,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Mar 08 2001
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