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A190128 Numbers 1 through 10000 sorted lexicographically in ternary representation. 8
1, 3, 9, 27, 81, 243, 729, 2187, 6561, 6562, 6563, 2188, 6564, 6565, 6566, 2189, 6567, 6568, 6569, 730, 2190, 6570, 6571, 6572, 2191, 6573, 6574, 6575, 2192, 6576, 6577, 6578, 731, 2193, 6579, 6580, 6581, 2194, 6582, 6583, 6584, 2195, 6585, 6586, 6587, 244 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A190129 = inverse permutation: a(A190129(n)) = A190129(a(n)) = n;

a(n) <> n for n > 1.

LINKS

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

Eric Weisstein's World of Mathematics, Lexicographic Order

Eric Weisstein's World of Mathematics, Ternary

Wikipedia, Lexicographical order

Wikipedia, Ternary numeral system

EXAMPLE

a(12) = 2188 -> 10000001  [tern];

a(13) = 6564 -> 100000010 [tern];

a(14) = 6565 -> 100000011 [tern];

a(15) = 6566 -> 100000012 [tern];

a(16) = 2189 -> 10000002  [tern];

a(17) = 6567 -> 100000020 [tern];

a(18) = 6568 -> 100000021 [tern];

a(19) = 6569 -> 100000022 [tern];

a(20) =  730 -> 1000001   [tern];

a(21) = 2190 -> 10000010  [tern];

largest term a(5164) = 10000 -> 111201101 [tern];

last term a(10000) = 6560 -> 22222222 [tern], largest term lexicographically.

PROG

(Haskell)

import Data.Ord (comparing)

import Data.List (sortBy)

a190128 n = a190128_list !! (n-1)

a190128_list = sortBy (comparing (show . a007089)) [1..10000]

CROSSREFS

Cf. A007089; A190126 (base 2), A190130 (base 8), A190016 (base 10), A190132 (base 12), A190134 (base 16).

Sequence in context: A249019 A216096 A300148 * A216097 A243845 A140429

Adjacent sequences:  A190125 A190126 A190127 * A190129 A190130 A190131

KEYWORD

nonn,base,fini,full

AUTHOR

Reinhard Zumkeller, May 06 2011

STATUS

approved

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Last modified May 26 15:18 EDT 2019. Contains 323597 sequences. (Running on oeis4.)