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A091066 Numbers having in binary representation at least one proper prefix that is also a suffix. 4
3, 5, 7, 9, 10, 11, 13, 15, 17, 18, 19, 21, 22, 23, 25, 27, 29, 31, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 45, 46, 47, 49, 51, 53, 54, 55, 57, 59, 61, 63, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 85, 86, 87, 89, 90, 91, 93, 94, 95, 97, 99, 101 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A091064(a(n)) > 0, complement of A091065.

Includes all odd numbers > 1. - Robert Israel, Feb 05 2016

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Index entries for sequences related to binary expansion of n

MAPLE

f:= proc(n) local L, m;

   if n::odd then return true fi;

   L:= convert(n, base, 2);

   for m from 2 to nops(L)-1 do

     if L[1..m] = L[-m..-1] then return true fi;

   od:

   false

end proc:

select(f, [$2..101]); # Robert Israel, Feb 05 2016

CROSSREFS

Cf. A007088, A070939, A082461, A242869.

Sequence in context: A076212 A085621 A324101 * A277599 A103848 A276137

Adjacent sequences:  A091063 A091064 A091065 * A091067 A091068 A091069

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Dec 17 2003

STATUS

approved

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Last modified May 19 12:27 EDT 2019. Contains 323393 sequences. (Running on oeis4.)