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A276791
Indicator function of (A003146 prefixed with 0).
8
1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0
OFFSET
0
COMMENTS
Also, this has 1's where A275925 has 3's (which is why the offset is 0).
Also, apart from the initial 1, this has 1's where the tribonacci word A080843 has 2's.
a(n+1) = 1 iff n is a member of A278041, for n >= 0. - Wolfdieter Lang, Dec 06 2018
LINKS
Wolfdieter Lang, The Tribonacci and ABC Representations of Numbers are Equivalent, arXiv preprint arXiv:1810.09787 [math.NT], 2018.
FORMULA
a(n+1) = t(n)*(t(n) - 1)/2, for n >= 0, and a(0) = 0, where t(n) = A080843(n). - Wolfdieter Lang, Dec 06 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Oct 18 2016
EXTENSIONS
More precise definition by Georg Fischer, Sep 01 2020
STATUS
approved