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Search: id:A100129
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| A100129 |
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Numbers n such that 2^n starts with n. |
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+0
2
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| 6, 10, 1542, 77075, 113939, 1122772, 2455891300, 2830138178, 136387767490, 2111259099790, 3456955336468, 4653248164310, 10393297007134, 321249146279171, 972926121017616, 72780032758751764
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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2^6=64, which begins with 6, 2^10=1024, which begins with 10.
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MATHEMATICA
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f[n_] := Floor[ 10^Floor[ Log[10, n]](10^FractionalPart[n*N[ Log[10, 2], 24]])]; Do[ If[ f[n] == n, Print[n]], {n, 125000000}] (from Robert G. Wilson v Nov 16 2004)
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CROSSREFS
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Cf. A064541 for 2^n ending with n & A032740 with n a substring of 2^n.
Sequence in context: A124902 A153022 A115677 this_sequence A009443 A106540 A134012
Adjacent sequences: A100126 A100127 A100128 this_sequence A100130 A100131 A100132
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KEYWORD
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nonn,base
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 15 2004
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EXTENSIONS
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a(5) & a(6) from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 16 2004
More terms from Robert Gerbicz (robert.gerbicz(AT)gmail.com), Aug 22 2006
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