A356974 Irregular triangle T(n, k) read by rows, n >= 0, k = 1..A117546(n); the n-th row contains the numbers m such that A356964(m) = n, in increasing order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 32, 29, 33, 30, 34, 31, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 47, 49, 50, 51, 52, 53, 54, 55, 56, 64, 57, 65, 58, 66, 59, 67, 60, 68, 61, 69, 62, 70

Offset: 0

Author

Rémy Sigrist, Sep 07 2022

Keywords

• nonn
• tabf
• base

Comments

This sequence is to tribonacci numbers (A000073) what A345101 is to Fibonacci numbers (A000045).

This sequence (when interpreted as a flat sequence) is a permutation of the nonnegative integers.

Examples

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

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..7021
• Rémy Sigrist, PARI program
• Index entries for sequences related to Zeckendorf expansion of n
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A000045, A000073, A003726, A003796, A117546 (row lengths), A345101, A356964.

Programs

PARI

See Links section.

Formula

T(n, 1) = A003796(n+1).

T(n, A117546(n)) = A003726(n+1).