A357120 Irregular triangle T(n, k), n > 0, k = 1..A278043(n); the n-th row contains, in ascending order, the terms in the greedy tribonacci representation of n.

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

Offset: 1

Author

Rémy Sigrist, Sep 12 2022

Keywords

• nonn
• tabf

Comments

See A357121 for the sequence corresponding to lazy tribonacci representations.

Examples

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

Links

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

Crossrefs

Cf. A000073, A035516, A035517, A275392, A278043, A278038, A357121.

Programs

PARI

See Links section.

Formula

T(n, 1) = A275392(n).

Sum_{k = 1..A278043(n)} T(n, k) = n.