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A335858
Nonnegative integers ordered by binary length and then lexicographically by run lengths (considering least significant runs first).
1
0, 1, 2, 3, 5, 6, 4, 7, 10, 13, 9, 14, 11, 12, 8, 15, 21, 26, 18, 29, 22, 25, 17, 30, 20, 27, 19, 28, 23, 24, 16, 31, 42, 53, 37, 58, 45, 50, 34, 61, 41, 54, 38, 57, 46, 49, 33, 62, 43, 52, 36, 59, 44, 51, 35, 60, 40, 55, 39, 56, 47, 48, 32, 63, 85, 106, 74
OFFSET
0,3
COMMENTS
The variant where we consider most significant runs first apparently corresponds to A180200.
FORMULA
Apparently a(n) = A056539(A180200(n)).
EXAMPLE
The first terms, alongside the corresponding binary representation and run lengths, are:
n a(n) bin(a(n)) A227736(n, *)
-- ---- --------- -------------
0 0 0 ()
1 1 1 (1)
2 2 10 (1, 1)
3 3 11 (2)
4 5 101 (1, 1, 1)
5 6 110 (1, 2)
6 4 100 (2, 1)
7 7 111 (3)
8 10 1010 (1, 1, 1, 1)
9 13 1101 (1, 1, 2)
10 9 1001 (1, 2, 1)
11 14 1110 (1, 3)
12 11 1011 (2, 1, 1)
13 12 1100 (2, 2)
14 8 1000 (3, 1)
15 15 1111 (4)
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Jun 27 2020
STATUS
approved