A372756 - OEIS

%I #9 Jan 05 2025 19:51:42

%S 13,54,73,101,142,183,202,243,262,290,331,350,378,419,460,479,507,548,

%T 589,608,649,668,696,737,778,797,838,857,885,926,945,973,1014,1055,

%U 1074,1115,1134,1162,1203,1222,1250,1291,1332,1351,1379,1420,1461,1480,1521

%N 7th 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://web.archive.org/web/2024*/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="https://web.archive.org/web/2024*/https://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), this sequence (k=7), A372757 (k=8).

%Y The k-th prepended column: A005374 (k=1), A136495 (k=2), A023443 (k=3), A202342 (k=4), A372758 (k=5), A372759 (k=6).

%K nonn

%O 1,1

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