A345101 Irregular triangle T(n, k) read by rows, n >= 0, k = 1..A000119(n); the n-th row contains the numbers m such that A022290(m) = n, in increasing order.

0, 1, 2, 3, 4, 5, 6, 8, 7, 9, 10, 11, 12, 16, 13, 17, 14, 18, 15, 19, 20, 21, 22, 24, 32, 23, 25, 33, 26, 34, 27, 28, 35, 36, 29, 37, 30, 38, 40, 31, 39, 41, 42, 43, 44, 48, 64, 45, 49, 65, 46, 50, 66, 47, 51, 52, 67, 68, 53, 69, 54, 56, 70, 72, 55, 57, 71, 73

Offset

0,3

Comments

When interpreted as a flat sequence, yields a permutation of the nonnegative integers.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..10922

Rémy Sigrist, PARI program for A345101

Index entries for sequences that are permutations of the natural numbers

Formula

T(n, 1) = A003754(n+1).

T(n, A000119(n)) = A003714(n).

Example

Triangle begins:
     0    [0]
     1    [1]
     2    [2]
     3    [3, 4]
     4    [5]
     5    [6, 8]
     6    [7, 9]
     7    [10]
     8    [11, 12, 16]
     9    [13, 17]
    10    [14, 18]
    11    [15, 19, 20]
    12    [21]

Prog

(PARI) See Links section.

Crossrefs

Cf. A000119 (row lengths), A003714, A003754, A022290.

Sequence in context: A130986 A235487 A273862 * A127382 A085170 A122282

Adjacent sequences: A345098 A345099 A345100 * A345102 A345103 A345104

Keyword

nonn,look,tabf

Author

Rémy Sigrist, Jun 08 2021

Status

approved