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A353083
The second column of the Trithoff (tribonacci) array.
5
2, 6, 9, 15, 19, 22, 26, 30, 33, 39, 43, 46, 50, 53, 59, 63, 66, 70, 74, 77, 83, 87, 90, 96, 100, 103, 107, 111, 114, 120, 124, 127, 131, 134, 140, 144, 147, 151, 155, 158, 164, 168, 171, 175, 179, 182, 188, 192, 195, 199, 202, 208, 212, 215, 219, 223, 226
OFFSET
1,1
COMMENTS
These are the numbers whose tribonacci representation ends in 10.
This is a subsequence of A003145: Numbers in this sequence indicate positions of letter b in the tribonacci word, but not all such positions.
EXAMPLE
The first few tribonacci numbers are 1, 2, 4, 7, 13, 24. The number 43 can be represented as 24+13+4+2. Thus, its tribonacci representation is 110110, and 43 is in this sequence.
KEYWORD
nonn
AUTHOR
Tanya Khovanova and PRIMES STEP Senior group, Apr 22 2022
STATUS
approved