A372756 7th column of the 3-Zeckendorf array (A136189).

13, 54, 73, 101, 142, 183, 202, 243, 262, 290, 331, 350, 378, 419, 460, 479, 507, 548, 589, 608, 649, 668, 696, 737, 778, 797, 838, 857, 885, 926, 945, 973, 1014, 1055, 1074, 1115, 1134, 1162, 1203, 1222, 1250, 1291, 1332, 1351, 1379, 1420, 1461, 1480, 1521

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..49.

Larry Ericksen and Peter G. Anderson, Patterns in differences between rows in k-Zeckendorf arrays, The Fibonacci Quarterly, Vol. 50, No. 1 (February 2012), pp. 11-18.

Clark Kimberling, The Zeckendorf array equals the Wythoff array, Fibonacci Quarterly 33 (1995) 3-8.

Crossrefs

Cf. A000930, A136189, A350215.

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

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).

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

Sequence in context: A176617 A254895 A358166 * A195024 A071230 A027000

Adjacent sequences: A372753 A372754 A372755 * A372757 A372758 A372759

Keyword

nonn

Author

A.H.M. Smeets, May 12 2024

Status

approved