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 A171768 a(n) = smallest exponent k such that the string "1 2 ... n" appears in the decimal expansion of 2^k. 2
 0, 7, 81, 283, 684, 1318, 8792, 15975, 61274, 314072, 4057579 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The first time "0" appears is in a(10). - Robert G. Wilson v, Feb 26 2013 REFERENCES Julian Havil, Impossible?: Surprising Solutions to Counterintuitive Conundrums, Princeton University Press 2008 Ross Honsberger, Ingenuity in mathematics, Random House/Singer School Division 1970 LINKS Table of n, a(n) for n=1..11. EXAMPLE n=1: 2^0 = 1 n=2: 2^7 = 128 n=3: 2^81 = 2417851639229258349412352 n=4: 2^283 has 86 decimals, "1234" appears on decimals 68 - 71: 2^283= 15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 n=5: 2^684 has 206 decimals, "12345" appears on decimals 99 - 103. MATHEMATICA g[n_] := Block[{c = 0, k = 1}, While[k <= n, c = 10^Floor[1 + Log10[k]] c + k; k++]; c] (* from A007908 *); f[n_] := Block[{k = 0, s = ToString[g[n]]}, While[ StringPosition[ ToString[ 2^k], s] == {}, k++]; k]; Array[f, 10] (* Robert G. Wilson v, Feb 26 2013 *) CROSSREFS Cf. A000079, A018802, A171132, A171242, A171489, A171652. Sequence in context: A264691 A326223 A058785 * A050861 A083226 A088735 Adjacent sequences: A171765 A171766 A171767 * A171769 A171770 A171771 KEYWORD nonn,base AUTHOR Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Dec 18 2009 EXTENSIONS a(6)-a(10) from Robert G. Wilson v, Feb 26 2013 a(11) from Giovanni Resta, Feb 26 2013 STATUS approved

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Last modified December 4 05:52 EST 2023. Contains 367541 sequences. (Running on oeis4.)