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A032740
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Numbers k such that k is a substring of 2^k.
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11
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6, 10, 35, 36, 37, 44, 49, 51, 60, 67, 72, 73, 82, 85, 89, 93, 179, 188, 190, 191, 226, 234, 252, 297, 312, 321, 356, 373, 391, 425, 429, 430, 438, 445, 451, 475, 478, 479, 486, 516, 519, 521, 526, 549, 551, 581, 582, 583, 598, 601, 603, 609, 613, 619, 627, 632, 642, 652, 653, 655, 660
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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David W. Wilson, Table of n, a(n) for n = 1..10000
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EXAMPLE
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2^93 = 99035203142830421991929_93_792.
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MAPLE
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op(select(n->searchtext(convert(n, string), convert(2^n, string))>0, [$1..660])); # Paolo P. Lava, Sep 05 2018
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MATHEMATICA
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d[n_] := IntegerDigits[n]; parQ[n_] := MemberQ[Partition[d[2^n], Length[x = d[n]], 1], x]; Select[Range[660], parQ] (* Jayanta Basu, Jun 17 2013 *)
Select[Range[700], SequenceCount[IntegerDigits[2^#], IntegerDigits[#]]>0&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jul 10 2019 *)
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PROG
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(Haskell)
import Data.List (isInfixOf)
a032740 n = a032740_list !! (n-1)
a032740_list = [x | x <- [0..], show x `isInfixOf` (show $ 2 ^ x)]
-- Reinhard Zumkeller, Jan 19 2014
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CROSSREFS
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Cf. A049301-A049307.
Sequence in context: A360519 A361321 A358153 * A348842 A361107 A361325
Adjacent sequences: A032737 A032738 A032739 * A032741 A032742 A032743
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KEYWORD
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base,nonn,nice,easy
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AUTHOR
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Patrick De Geest, May 15 1998
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STATUS
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approved
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