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

0,3

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.

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

Formula

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

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

Example

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]

Prog

(PARI) See Links section.

Crossrefs

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

Sequence in context: A246337 A161953 A187829 * A105427 A247160 A023808

Adjacent sequences: A356971 A356972 A356973 * A356975 A356976 A356977

Keyword

nonn,tabf,base

Author

Rémy Sigrist, Sep 07 2022

Status

approved