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A262374 a(1) = 1; for n > 1, let s denote the binary representation of a(n-1) with the first bit omitted. Then a(n) is the smallest number not yet present whose binary representation starts with s, omitting leading zeros. 4
1, 2, 3, 4, 5, 6, 8, 7, 12, 9, 10, 11, 13, 20, 16, 14, 24, 17, 15, 28, 25, 18, 19, 26, 21, 22, 27, 23, 29, 52, 40, 32, 30, 56, 48, 33, 31, 60, 57, 50, 36, 34, 35, 49, 68, 37, 41, 38, 51, 39, 58, 53, 42, 43, 44, 96, 64, 45, 54, 88, 97, 66, 46, 59, 55, 47, 61 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

It seems clear that every number will appear. It would be nice to have a formal proof. - N. J. A. Sloane, Sep 20 2015

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..20000

EXAMPLE

: 1                                      ...  1

:  10                                    ...  2

:    11                                  ...  3

:     100                                ...  4

:        101                             ...  5

:          110                           ...  6

:           1000                         ...  8

:               111                      ...  7

:                1100                    ... 12

:                 1001                   ...  9

:                    1010                ... 10

:                      1011              ... 11

:                        1101            ... 13

:                         10100          ... 20

:                           10000        ... 16

:                                1110    ... 14

:                                 11000  ... 24

:                                  10001 ... 17

CROSSREFS

Binary counterpart of A262356.

A262381 gives the binary representations.

Cf. A262388.

Sequence in context: A262388 A232895 A274607 * A145518 A256221 A210253

Adjacent sequences:  A262371 A262372 A262373 * A262375 A262376 A262377

KEYWORD

nonn,base

AUTHOR

Allan C. Wechsler, Sep 20 2015

STATUS

approved

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Last modified April 27 10:54 EDT 2017. Contains 285512 sequences.