%N k appears A278045(k)+1 times.
%C Each k appears one more times than the number of trailing zeros in the tribonacci representation of n (see A278038).
%C This is related to the tribonacci representation of n in the same way as A046699 (without its initial term) is related to the binary representation of n and as A316628 is to the Zeckendorf representation of n.
%H Nathan Fox, <a href="https://vimeo.com/322291024">Trees, Fibonacci Numbers, and Nested Recurrences</a>, Rutgers University Experimental Math Seminar, Mar 07, 2019
%Y Cf. A046699, A278038, A278045, A316628.
%A _N. J. A. Sloane_, Mar 07 2019