A357121 Irregular triangle T(n, k), n > 0, k = 1..A352104(n); the n-th row contains, in ascending order, the terms in the lazy tribonacci representation of n.

1, 2, 1, 2, 4, 1, 4, 2, 4, 1, 2, 4, 1, 7, 2, 7, 1, 2, 7, 4, 7, 1, 4, 7, 2, 4, 7, 1, 2, 4, 7, 2, 13, 1, 2, 13, 4, 13, 1, 4, 13, 2, 4, 13, 1, 2, 4, 13, 1, 7, 13, 2, 7, 13, 1, 2, 7, 13, 4, 7, 13, 1, 4, 7, 13, 2, 4, 7, 13, 1, 2, 4, 7, 13, 4, 24, 1, 4, 24, 2, 4, 24

Offset: 1

Author

Rémy Sigrist, Sep 12 2022

Keywords

• nonn
• tabf

Comments

See A357120 for the sequence corresponding to greedy tribonacci representations.

Examples

			Triangle T(n, k) begins:
     1: [1]
     2: [2]
     3: [1, 2]
     4: [4]
     5: [1, 4]
     6: [2, 4]
     7: [1, 2, 4]
     8: [1, 7]
     9: [2, 7]
    10: [1, 2, 7]
    11: [4, 7]
    12: [1, 4, 7]
    13: [2, 4, 7]
    14: [1, 2, 4, 7]
    15: [2, 13]
		

Links

• Rémy Sigrist, PARI program
• Index entries for sequences related to Zeckendorf expansion of n

Crossrefs

Cf. A000073, A080843, A112309, A352103, A352104, A357120.

Programs

PARI

See Links section.

Formula

T(n, 1) = 2^A080843(n-1).