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A158333
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Position of number of digits increment in the sequence of powers of 3.
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2
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1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 133, 135
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n)=1+Floor(n/Log_10(3)) = 1+A054965(n).
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EXAMPLE
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For n=1 a(1)=3 since the sequence of powers of 3 is 1, 3, 9, 27, 81, 243, 729 and numbers of digits increase at position 1,3,5,...
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MAPLE
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1+floor(n/log10(3)) ;
end proc:
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MATHEMATICA
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a[x_] := 1 + Floor[x/Log[10, 3]]; Table[a[i], {i, 0, 20}]
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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Indices in offset, example, and formula adjusted by R. J. Mathar, May 21 2009
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STATUS
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approved
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