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A100129 Numbers n such that 2^n starts with n. 1
6, 10, 1542, 77075, 113939, 1122772, 2455891300, 2830138178, 136387767490, 2111259099790, 3456955336468, 4653248164310, 10393297007134, 321249146279171, 972926121017616, 72780032758751764 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

2^6=64, which begins with 6, 2^10=1024, which begins with 10.

MATHEMATICA

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)

CROSSREFS

Cf. A064541 for 2^n ending with n & A032740 with n a substring of 2^n.

Sequence in context: A124902 A153022 A115677 * A009443 A106540 A134012

Adjacent sequences:  A100126 A100127 A100128 * A100130 A100131 A100132

KEYWORD

nonn,base

AUTHOR

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 15 2004

EXTENSIONS

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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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.