A190130 Numbers 1 through 10000 sorted lexicographically in octal representation (base 8).

1, 8, 64, 512, 4096, 4097, 4098, 4099, 4100, 4101, 4102, 4103, 513, 4104, 4105, 4106, 4107, 4108, 4109, 4110, 4111, 514, 4112, 4113, 4114, 4115, 4116, 4117, 4118, 4119, 515, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127, 516, 4128, 4129, 4130, 4131, 4132

Offset

1,2

Comments

A190131 = inverse permutation: a(A190131(n)) = A190131(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, Octal

Wikipedia, Lexicographical order

Wikipedia, Octal

Example

a(10) = 4101 -> 10005 [oct];
a(11) = 4102 -> 10006 [oct];
a(12) = 4103 -> 10007 [oct];
a(13) =  513 -> 1001  [oct];
a(14) = 4104 -> 10010 [oct];
a(15) = 4105 -> 10011 [oct];
a(16) = 4106 -> 10012 [oct];
largest term a(67151) = 10000 -> 23420 [oct];
last term a(10000) = 4095 -> 7777 [oct], largest term lexicographically.

Prog

(Haskell)
import Data.Ord (comparing)
import Data.List (sortBy)
a190130 n = a190130_list !! (n-1)
a190130_list = sortBy (comparing (show . a007094)) [1..10000]

Crossrefs

A007094; A190126 (base 2), A190128 (base 3), A190016 (base 10), A190132 (base 12), A190134 (base 16).

Sequence in context: A269775 A269655 A250360 * A125908 A206454 A001018

Adjacent sequences: A190127 A190128 A190129 * A190131 A190132 A190133

Keyword

nonn,base,fini,full

Author

Reinhard Zumkeller, May 06 2011

Status

approved