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

Author

Rémy Sigrist, Jun 08 2021

Keywords

• nonn
• look
• tabf

Comments

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

Examples

			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]
		

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

Crossrefs

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

Programs

PARI

See Links section.

Formula

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

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