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A123384
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Number of bits in binary expansion of 10^n.
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13
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1, 4, 7, 10, 14, 17, 20, 24, 27, 30, 34, 37, 40, 44, 47, 50, 54, 57, 60, 64, 67, 70, 74, 77, 80, 84, 87, 90, 94, 97, 100, 103, 107, 110, 113, 117, 120, 123, 127, 130, 133, 137, 140, 143, 147, 150, 153, 157, 160, 163, 167, 170, 173, 177, 180, 183, 187, 190, 193, 196
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OFFSET
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0,2
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COMMENTS
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Number of powers of 2 less than or equal to 10^n. - Peter Munn, Nov 13 2019
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LINKS
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FORMULA
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EXAMPLE
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a(3)=10 because 10^3 = 1111101000_2.
10^1 = 10 = 1010_2 has 4 digits.
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MAPLE
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a:=n->nops(convert(10^n, base, 2)): seq(a(n), n=0..70); # Emeric Deutsch, Mar 26 2007
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MATHEMATICA
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a[n_]:=1 + Floor[n/Log10[2]]; Array[a, 60, 0] (* Stefano Spezia, Aug 31 2024 *)
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CROSSREFS
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KEYWORD
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base,nonn,changed
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AUTHOR
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Andrew Caldwell (spongebobpj(AT)yahoo.com), Nov 09 2006
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EXTENSIONS
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STATUS
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approved
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