A356966 Numbers with no common terms in their greedy and lazy tribonacci representations.

0, 7, 13, 24, 44, 81, 88, 149, 156, 162, 274, 287, 298, 504, 511, 528, 548, 927, 934, 940, 971, 1008, 1015, 1705, 1718, 1729, 1786, 1793, 1854, 1861, 1867, 3136, 3143, 3160, 3180, 3285, 3292, 3298, 3410, 3423, 3434, 5768, 5775, 5781, 5812, 5849, 5856, 6042

Offset: 1

Author

Rémy Sigrist, Sep 06 2022

Keywords

• nonn

Comments

Also numbers k such that the binary expansions of A003726(k+1) and A003796(k+1) have no common 1's.

Also positions of 0's in A356965.

This sequence is to tribonacci numbers (A000073) what A331467 is to Fibonacci numbers (A000045).

This sequence includes tribonacci numbers >= 7.

Examples

			With T = A000073:
- the greedy representation of 13 is: T(7),
- the lazy representation of 13 is: T(6) + T(5) + T(4),
- there are no common terms,
- so 13 belongs to this sequence.
		

Links

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

Crossrefs

Cf. A000045, A000073, A003726, A003796, A331467, A356965.

Programs

PARI

See Links section.