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A220436 a(n) = A127546(n)^2. 0
4, 36, 196, 1444, 9604, 66564, 454276, 3118756, 21362884, 146458404, 1003749124, 6880038916, 47155859716, 323212716324, 2215328606404, 15184099435684, 104073336269956, 713329336067076, 4889231802533764, 33511293841053604, 229689823620354244, 1574317475335503396, 10790532493690424836 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..22.

Shalosh B. Ekhad and Doron Zeilberger, Automatic Counting of Tilings of Skinny Plane Regions, arXiv preprint arXiv:1206.4864, 2012.

FORMULA

Empirical g.f.: -4*(x^4-4*x^3-11*x^2+4*x+1) / ((x-1)*(x^2-7*x+1)*(x^2+3*x+1)). - Colin Barker, Jul 22 2013

a(n) = 4*(4*((-1)^(n + 1)*Lucas(2*(n + 1)) + Lucas(4*(n + 1))) + 9)/25. - Ehren Metcalfe, Feb 18 2017

MATHEMATICA

Table[Total[Fibonacci[Range[n, n + 2]]^2]^2, {n, 0, 22}] (* or *)

Table[4 (4 ((-1)^(n + 1) LucasL[2 (n + 1)] + LucasL[4 (n + 1)]) + 9)/25, {n, 0, 22}] (* Michael De Vlieger, Feb 18 2017 *)

CROSSREFS

Cf. A127546.

Sequence in context: A272222 A263420 A302946 * A144888 A291643 A054773

Adjacent sequences:  A220433 A220434 A220435 * A220437 A220438 A220439

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 16 2012

STATUS

approved

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Last modified January 19 20:41 EST 2020. Contains 331066 sequences. (Running on oeis4.)