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A358893
Irregular triangle T(n, k), n >= 0, k = 1..A193020(n), read by rows: the n-th row lists the numbers obtained by self-shuffling the binary expansion of n.
3
0, 3, 10, 12, 15, 36, 40, 48, 43, 45, 51, 53, 54, 58, 60, 63, 136, 144, 160, 192, 147, 149, 153, 163, 165, 169, 195, 197, 201, 170, 172, 178, 180, 202, 204, 210, 212, 175, 183, 187, 207, 215, 219, 204, 212, 216, 228, 232, 240, 219, 221, 235, 237, 243, 245
OFFSET
0,2
COMMENTS
See A358892 for the distinct values.
n and T(n, k) have the same parity.
LINKS
FORMULA
T(n, 1) = A330940(n).
T(n, A193020(n)) = A330941(n).
EXAMPLE
Triangle T begins (in decimal):
n n-th row
-- --------
0 0,
1 3,
2 10, 12,
3 15,
4 36, 40, 48,
5 43, 45, 51, 53,
6 54, 58, 60,
7 63,
8 136, 144, 160, 192,
9 147, 149, 153, 163, 165, 169, 195, 197, 201,
...
Triangle T begins (in binary):
n n-th row
---- --------
0 0,
1 11,
10 1010, 1100,
11 1111,
100 100100, 101000, 110000,
101 101011, 101101, 110011, 110101,
110 110110, 111010, 111100,
111 111111,
1000 10001000, 10010000, 10100000, 11000000,
...
PROG
(PARI) See Links section.
CROSSREFS
Cf. A193020 (row lengths), A330940, A330941, A358892.
Sequence in context: A020890 A343892 A358892 * A317671 A031453 A345961
KEYWORD
nonn,base,tabf
AUTHOR
Rémy Sigrist, Dec 05 2022
STATUS
approved