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A318926 Take the binary expansion of n, starting with the least significant bit, and concatenate the lengths of the runs. 2
1, 11, 2, 21, 111, 12, 3, 31, 121, 1111, 211, 22, 112, 13, 4, 41, 131, 1121, 221, 2111, 11111, 1211, 311, 32, 122, 1112, 212, 23, 113, 14, 5, 51, 141, 1131, 231, 2121, 11121, 1221, 321, 3111 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Obviously this compressed notation is useful only for n < 1023. A227736 is a version which works for all n.

LINKS

Table of n, a(n) for n=1..40.

Claude Lenormand, Deux transformations sur les mots, Preprint, 5 pages, Nov 17 2003. Apparently unpublished. This is a scanned copy of the version that the author sent to me in 2003. - N. J. A. Sloane, Sep 09 2018. See Procedure 1.

EXAMPLE

n, binary, run lengths, -> a(n)

1, [1], [1] -> 1

2, [0, 1], [1, 1] -> 11

3, [1, 1], [2] ->  2

4, [0, 0, 1], [2, 1] -> 21

5, [1, 0, 1], [1, 1, 1] -> 111

6, [0, 1, 1], [1, 2] -> 12

7, [1, 1, 1], [3] -> 3

8, [0, 0, 0, 1], [3, 1] ->  31,

...

CROSSREFS

Cf. A227736, A101211, A318927.

Sequence in context: A303785 A262369 A092260 * A040120 A176592 A051309

Adjacent sequences:  A318923 A318924 A318925 * A318927 A318928 A318929

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Sep 09 2018

STATUS

approved

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Last modified February 15 16:25 EST 2019. Contains 320136 sequences. (Running on oeis4.)