

A318927


Take the binary expansion of n, starting with the most significant bit, and concatenate the lengths of the runs.


2



1, 11, 2, 12, 111, 21, 3, 13, 121, 1111, 112, 22, 211, 31, 4, 14, 131, 1211, 122, 1112, 11111, 1121, 113, 23, 221, 2111, 212, 32, 311, 41, 5, 15, 141, 1311, 132, 1212, 12111, 1221, 123, 1113
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OFFSET

1,2


COMMENTS

Obviously this compressed notation is useful only for n < 1023. A101211 is a version which works for all n.


LINKS

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


EXAMPLE

n, binary, run lengths, > a(n)
1, [1], [1] > 1
2, [0, 1], [1, 1] > 11
3, [1, 1], [2] > 2
4, [1, 0, 0], [1, 2] > 12
5, [1, 0, 1], [1, 1, 1] > 111
6, [1, 1, 0], [2, 1] > 21
7, [1, 1, 1], [3] > 3
...


CROSSREFS

Cf. A227736, A318926, A101211.
Sequence in context: A226110 A323484 A330521 * A267320 A303785 A262369
Adjacent sequences: A318924 A318925 A318926 * A318928 A318929 A318930


KEYWORD

nonn,base


AUTHOR

N. J. A. Sloane, Sep 09 2018


STATUS

approved



