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A266089 Lexicographically smallest permutation of natural numbers such that in binary representation the number of ones of adjacent terms differ exactly by one. 3
0, 1, 3, 2, 5, 4, 6, 7, 9, 8, 10, 11, 12, 13, 15, 14, 17, 16, 18, 19, 20, 21, 23, 22, 24, 25, 27, 26, 29, 28, 30, 31, 39, 35, 33, 32, 34, 37, 36, 38, 40, 41, 43, 42, 45, 44, 46, 47, 51, 49, 48, 50, 53, 52, 54, 55, 57, 56, 58, 59, 60, 61, 63, 62, 71, 67, 65 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

A266161(n) = A000120(a(n));

abs(A000120(a(n+1)) - A000120(a(n))) = abs(A266161(n+1) - A266161(n)) = 1.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Index entries for sequences related to binary expansion of n

Index entries for sequences that are permutations of the natural numbers

EXAMPLE

.   n |  a(n) | A007088(a(n)) | A266161(n)

. ----+-------+---------------+------------

.   0 |    0  |            0  |         0

.   1 |    1  |            1  |         1

.   2 |    3  |           11  |         2

.   3 |    2  |           10  |         1

.   4 |    5  |          101  |         2

.   5 |    4  |          100  |         1

.   6 |    6  |          110  |         2

.   7 |    7  |          111  |         3

.   8 |    9  |         1001  |         2

.   9 |    8  |         1000  |         1

.  10 |   10  |         1010  |         2

.  11 |   11  |         1011  |         3

.  12 |   12  |         1100  |         2

.  13 |   13  |         1101  |         3

.  14 |   15  |         1111  |         4

.  15 |   14  |         1110  |         3

.  16 |   17  |        10001  |         2  .

PROG

(Haskell)

import Data.List (delete)

a266089 n = a266089_list !! n

a266089_list = 0 : f 0 (zip [1..] $ tail a000120_list) where

   f x zws = g zws where

     g (yw@(y, w) : yws) | abs (x - w) /= 1 = g yws

                         | otherwise = y : f w (delete yw zws)

CROSSREFS

Cf. A000120, A007088, A266154 (inverse), A266161.

Sequence in context: A109451 A160017 A266154 * A193231 A191672 A273876

Adjacent sequences:  A266086 A266087 A266088 * A266090 A266091 A266092

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Dec 22 2015

STATUS

approved

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Last modified October 19 03:36 EDT 2018. Contains 316330 sequences. (Running on oeis4.)