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A190126 Numbers 1 through 10000 sorted lexicographically in binary representation. 7
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 8193, 4097, 8194, 8195, 2049, 4098, 8196, 8197, 4099, 8198, 8199, 1025, 2050, 4100, 8200, 8201, 4101, 8202, 8203, 2051, 4102, 8204, 8205, 4103, 8206, 8207, 513, 1026, 2052, 4104, 8208, 8209, 4105 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A190127 = inverse permutation: a(A190127(n)) = A190127(a(n)) = n;

a(n) <> n for n > 2.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 (full sequence)

Eric Weisstein, LexicographicOrder

Wikipedia, Lexicographical order

Index entries for sequences related to binary expansion of n

EXAMPLE

a(13) = 4096 -> 1000000000000  [bin];

a(14) = 8192 -> 10000000000000 [bin];

a(15) = 8193 -> 10000000000001 [bin];

a(16) = 4097 -> 1000000000001  [bin];

a(17) = 8194 -> 10000000000010 [bin];

a(18) = 8195 -> 10000000000011 [bin];

a(19) = 2049 -> 100000000001   [bin];

a(20) = 4098 -> 1000000000010  [bin];

largest term a(3626) = 10000 -> 10011100010000 [bin];

last term a(10000) = 8191 -> 1111111111111 [bin], largest term lexicographically.

PROG

(Haskell)

import Data.Ord (comparing)

import Data.List (sortBy)

a190126 n = a190126_list !! (n-1)

a190126_list = sortBy (comparing (show . a007088)) [1..10000]

CROSSREFS

Cf. A007088; A190128 (base 3), A190130 (base 8), A190016 (base 10), A190132 (base 12), A190134 (base 16).

Sequence in context: A168084 A133025 A216095 * A219676 A220469 A220051

Adjacent sequences:  A190123 A190124 A190125 * A190127 A190128 A190129

KEYWORD

nonn,base,fini,full

AUTHOR

Reinhard Zumkeller, May 06 2011

STATUS

approved

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Last modified June 25 22:16 EDT 2019. Contains 324358 sequences. (Running on oeis4.)