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A077419 Largest Whitney number of Fibonacci lattices J(Z_n). 6
1, 1, 1, 2, 2, 3, 5, 7, 11, 17, 26, 40, 63, 97, 153, 238, 376, 587, 931, 1458, 2317, 3640, 5794, 9124, 14545, 22951, 36631, 57904, 92512, 146461, 234205, 371281, 594169, 943045, 1510192, 2399460, 3844787, 6114555, 9802895, 15603339, 25027296 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

A051286 and A051291, interleaved. a(n) is the maximal element in the n-th row of A079487 or A123245 and in the (n+2)-th row of A078807 or A078808. - Andrey Zabolotskiy, Sep 21 2017

LINKS

Emanuele Munarini, Mar 05 2007, Table of n, a(n) for n = 0..100

E. Munarini, N. Zagaglia Salvi, On the Rank Polynomial of the Lattice of Order Ideals of Fences and Crowns, Discrete Mathematics 259 (2002), 163-177.

FORMULA

G.f.: (1 + 2 x + 2 x^4 - x^6 - (1-x^2) sqrt(1 - 2 x^2 - x^4 - 2 x^6 + x^8) )/(2x sqrt(1 - 2 x^2 - x^4 - 2 x^6 + x^8)). - Emanuele Munarini, Mar 05 2007

a(n) ~ phi^(n+2) / (5^(1/4) * sqrt(2*Pi*n)), where phi = A001622 = (1+sqrt(5))/2 is the golden ratio. - Vaclav Kotesovec, Sep 22 2017

CROSSREFS

Sequence in context: A240487 A066889 A214040 * A125189 A226498 A196375

Adjacent sequences:  A077416 A077417 A077418 * A077420 A077421 A077422

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jan 19 2003

EXTENSIONS

More terms from Emanuele Munarini, Mar 05 2007

STATUS

approved

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Last modified September 22 15:16 EDT 2018. Contains 315270 sequences. (Running on oeis4.)