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A372758 5th prepended column of the 3-Zeckendorf array (A136189). 4

%I #6 May 18 2024 15:12:36

%S 1,2,2,2,3,4,4,5,5,5,6,6,6,7,8,8,8,9,10,10,11,11,11,12,13,13,14,14,14,

%T 15,15,15,16,17,17,18,18,18,19,19,19,20,21,21,21,22,23,23,24,24,24,25,

%U 25,25,26,27,27,27,28,29,29,30,30,30,31,32,32,33,33,33

%N 5th prepended column of the 3-Zeckendorf array (A136189).

%C The 3-Zeckendorf array (A136189) is based on the Narayana (Narayana's cow sequence A000930) weighted representation of n (see A350215).

%H Larry Ericksen and Peter G. Anderson, <a href="https://www.fq.math.ca/Papers1/50-1/EricksenAnderson.pdf">Patterns in differences between rows in k-Zeckendorf arrays</a>, The Fibonacci Quarterly, Vol. 50, No. 1 (February 2012), pp. 11-18.

%H Clark Kimberling, <a href="http://www.fq.math.ca/Scanned/33-1/kimberling.pdf">The Zeckendorf array equals the Wythoff array</a>, Fibonacci Quarterly 33 (1995) 3-8.

%Y Cf. A000930, A136189, A350215.

%Y The k-th row: A000930(n+2) (k=1), A372760 (k=2).

%Y The k-th column: A020942 (k=1), A064105 (k=2), A064106 (k=3), A372749 (k=4), A372750 (k=5), A372752 (k=6), A372756 (k=7), A372757 (k=8).

%Y The k-th prepended column: A005374 (k=1), A136495 (k=2), A023443 (k=3), A202342 (k=4), this sequence (k=5), A372759 (k=6).

%K nonn

%O 1,2

%A _A.H.M. Smeets_, May 12 2024

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Last modified August 14 17:57 EDT 2024. Contains 375166 sequences. (Running on oeis4.)