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A371257
Irregular triangle T(n, k), n >= 0, k = 1..2^A005811(n), read by rows; the n-th row lists the numbers m such that A371256(m) = n.
5
0, 1, 2, 3, 5, 6, 7, 4, 8, 9, 17, 18, 22, 10, 11, 15, 16, 19, 20, 21, 23, 12, 14, 24, 25, 13, 26, 27, 53, 54, 67, 28, 29, 51, 52, 55, 56, 66, 68, 30, 32, 33, 34, 46, 47, 48, 50, 57, 59, 60, 61, 64, 65, 69, 70, 31, 35, 45, 49, 58, 62, 63, 71, 36, 44, 72, 76
OFFSET
0,3
COMMENTS
The n-th row has 2^A005811(n) terms.
As a flat sequence, this is a permutation of the nonnegative integers, with inverse A371258.
EXAMPLE
Triangle T(n, k) begins:
n n-th row
-- --------------------------------------------------------------
0 0
1 1, 2
2 3, 5, 6, 7
3 4, 8
4 9, 17, 18, 22
5 10, 11, 15, 16, 19, 20, 21, 23
6 12, 14, 24, 25
7 13, 26
8 27, 53, 54, 67
9 28, 29, 51, 52, 55, 56, 66, 68
10 30, 32, 33, 34, 46, 47, 48, 50, 57, 59, 60, 61, 64, 65, 69, 70
11 31, 35, 45, 49, 58, 62, 63, 71
12 36, 44, 72, 76
13 37, 38, 42, 43, 73, 74, 75, 77
14 39, 41, 78, 79
15 40, 80
.
Triangle T(n, k) begins, in ternary, with row indexes in binary:
bin(n) n-th row in ternary
------ ----------------------------------------------
0 0
1 1, 2
10 10, 12, 20, 21
11 11, 22
100 100, 122, 200, 211
101 101, 102, 120, 121, 201, 202, 210, 212
110 110, 112, 220, 221
111 111, 222
1000 1000, 1222, 2000, 2111
1001 1001, 1002, 1220, 1221, 2001, 2002, 2110, 2112
PROG
(PARI) \\ See Links section.
CROSSREFS
See A371265 for a similar sequence.
Sequence in context: A367417 A339949 A160100 * A247891 A367407 A354370
KEYWORD
nonn,base,tabf
AUTHOR
Rémy Sigrist, Mar 16 2024
STATUS
approved