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A361478
Irregular table T(n, k), n >= 0, k = 1..A361477(n), read by rows; the n-th row lists the integers whose binary expansions have the same multiset of run-lengths as that of n.
4
0, 1, 2, 3, 4, 6, 5, 4, 6, 7, 8, 14, 9, 11, 13, 10, 9, 11, 13, 12, 9, 11, 13, 8, 14, 15, 16, 30, 17, 23, 29, 18, 20, 22, 26, 19, 25, 27, 18, 20, 22, 26, 21, 18, 20, 22, 26, 17, 23, 29, 24, 28, 19, 25, 27, 18, 20, 22, 26, 19, 25, 27, 24, 28, 17, 23, 29, 16, 30
OFFSET
0,3
COMMENTS
This sequence has similarities with A187786; here we consider multisets of run-lengths, there multisets of digits in binary expansions.
LINKS
FORMULA
T(n, 1) = A361479(n).
T(n, A361477(n)) = A361480(n).
EXAMPLE
Table T(n, k) begins (in decimal and in binary):
n n-th row bin(n) n-th row in binary
-- ---------- ------ ------------------
0 0 0 0
1 1 1 1
2 2 10 10
3 3 11 11
4 4, 6 100 100, 110
5 5 101 101
6 4, 6 110 100, 110
7 7 111 111
8 8, 14 1000 1000, 1110
9 9, 11, 13 1001 1001, 1011, 1101
10 10 1010 1010
11 9, 11, 13 1011 1001, 1011, 1101
12 12 1100 1100
13 9, 11, 13 1101 1001, 1011, 1101
14 8, 14 1110 1000, 1110
15 15 1111 1111
16 16, 30 10000 10000, 11110
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn,base,tabf
AUTHOR
Rémy Sigrist, Mar 13 2023
STATUS
approved