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Search: id:A060384
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| A060384 |
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Number of decimal digits in n-th Fibonacci number. |
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+0
10
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| 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18
(list; graph; listen)
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OFFSET
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0,8
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,10000
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FORMULA
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a(n) = ceiling(n*ln(tau)/ln(10)) +0 or +1 where tau is the golden ratio. - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 29 2002
a(n)= floor(n*log10(gold)-log10(5)/2)+1 for n>=2, where gold is (1+sqrt(5))/2 - Herman Jamke (hermanjamke(AT)fastmail.fm), May 01 2007
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MAPLE
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with(combinat): a:=n->nops(convert(fibonacci(n), base, 10)): 1, seq(a(n), n=1..100); - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 19 2007
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PROGRAM
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(PARI) print1("1, 1, "); gold=(1+sqrt(5))/2; for(n=2, 100, print1(floor((n*log(gold)-log(5)/2)/log(10))+1", ")) - Herman Jamke (hermanjamke(AT)fastmail.fm), May 01 2007
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CROSSREFS
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Cf. A000045, A022307, A001605, A060319, A060320, A051694, A050815.
Sequence in context: A154099 A105511 A027868 this_sequence A105564 A025811 A034258
Adjacent sequences: A060381 A060382 A060383 this_sequence A060385 A060386 A060387
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KEYWORD
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base,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 03 2001
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EXTENSIONS
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More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 01 2007
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