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Search: id:A006889
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| A006889 |
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Least power of 2 having exactly n consecutive 0's in its decimal representation.
(Formerly M4710)
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+0
2
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| 0, 10, 53, 242, 377, 1491, 1492, 6801, 14007, 100823, 559940, 1148303, 4036338, 4036339, 53619497, 119476156, 146226201, 918583174
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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EXAMPLE
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2^53619497 is the smallest power of 2 to contain a run of 14 consecutive zeros in its decimal form.
2^119476156 (a 35965907-digit number) contains the sequence ...40030000000000000008341... about one third of the way through.
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MATHEMATICA
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a = ""; Do[ a = StringJoin[a, "0"]; b = StringJoin[a, "0"]; k = 1; While[ StringPosition[ ToString[2^k], a] == {} || StringPosition[ ToString[2^k], b] != {}, k++ ]; Print[k], {n, 1, 10} ] (Robert G. Wilson v)
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CROSSREFS
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Cf. A031146.
Sequence in context: A050494 A119543 A063899 this_sequence A007035 A093187 A152762
Adjacent sequences: A006886 A006887 A006888 this_sequence A006890 A006891 A006892
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KEYWORD
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nonn,hard
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AUTHOR
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P. D. Mitchelmore (dh115(AT)city.ac.uk)
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EXTENSIONS
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3 more terms from Clive J. Tooth, Jan 24 2001. One more term from Clive Tooth (clive.tooth(AT)unisys.com), Nov 28 2001
One more term from Sacha Roscoe (scarletmanuka(AT)iprimus.com.au), Dec 16 2002
a(17) from Sacha Roscoe (scarletmanuka(AT)iprimus.com.au), Feb 06 2007
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