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A034888
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Number of digits in 3^n.
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10
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1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 32, 33, 33
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) = floor(n*log(3)/log(10)) + 1. E.g., a(10)=5 because 3^10 = 59049 and floor(10*log(3)/log(10)) + 1 = 4 + 1 = 5. - Jaap Spies, Dec 15 2003
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MAPLE
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seq(floor(n*ln(3)/ln(10))+1, n=0..100);
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MATHEMATICA
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Table[Length[IntegerDigits[3^n]], {n, 0, 100}] (* T. D. Noe, Mar 20 2012 *)
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PROG
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(Python)
def a(n): return len(str(3**n))
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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STATUS
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approved
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