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A372760
2nd row of the 3-Zeckendorf array (A136189), including prepended terms.
5
0, 2, 1, 1, 3, 4, 5, 8, 12, 17, 25, 37, 54, 79, 116, 170, 249, 365, 535, 784, 1149, 1684, 2468, 3617, 5301, 7769, 11386, 16687, 24456, 35842, 52529, 76985, 112827, 165356, 242341, 355168, 520524, 762865, 1118033, 1638557, 2401422, 3519455, 5158012, 7559434
OFFSET
-5,2
COMMENTS
The 3-Zeckendorf array (A136189) is based on the Narayana (Narayana's cow sequence A000930) weighted representation of n (see A350215).
LINKS
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.
FORMULA
a(n) = A179070(n+5) for n >= -3. - Pontus von Brömssen, May 13 2024
MATHEMATICA
LinearRecurrence[{1, 0, 1}, {0, 2, 1}, 50] (* Paolo Xausa, May 25 2024 *)
CROSSREFS
The k-th row: A000930(n+2) (k=1), this sequence (k=2).
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).
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: A278028 A124424 A057044 * A153899 A068098 A135722
KEYWORD
nonn,easy
AUTHOR
A.H.M. Smeets, May 12 2024
STATUS
approved