[go: up one dir, main page]

login
A356966
Numbers with no common terms in their greedy and lazy tribonacci representations.
2
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
1,2
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.
EXAMPLE
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.
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn
AUTHOR
Rémy Sigrist, Sep 06 2022
STATUS
approved