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 A003268 Central Fibonomial coefficients. (Formerly M1607) 4
 1, 2, 6, 15, 60, 260, 1820, 12376, 136136, 1514513, 27261234, 488605194, 14169550626, 411591708660, 19344810307020, 908637119420910, 69056421075989160, 5249543573067466872, 645693859487298425256, 79413089729752455762384, 15803204856220738696714416 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES A. Brousseau, Fibonacci and Related Number Theoretic Tables. Fibonacci Association, San Jose, CA, 1972, p. 74. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS A. Brousseau, A sequence of power formulas, Fib. Quart., 6 (1968), 81-83. FORMULA a(n) = (Product_{k=floor(n/2)+1..n} Fibonacci(k)) / (Product_{k=1..ceiling(n/2)} Fibonacci(k)). a(n) ~ ((1+sqrt(5))/2)^(n^2/4 + n + 1 - (1-(-1)^n)/8) / A062073, where A062073 = 1.2267420107203532444176302... is the Fibonacci factorial constant. - Vaclav Kotesovec, May 01 2015 MATHEMATICA Table[Product[Fibonacci[k], {k, Floor[n/2]+1, n}] / Product[Fibonacci[k], {k, 1, Ceiling[n/2]}], {n, 2, 20}] (* Vaclav Kotesovec, Apr 10 2015 *) CROSSREFS Central column of A010048, |A055870|. Cf. A062073. Sequence in context: A027287 A192186 A243550 * A242792 A216811 A307180 Adjacent sequences:  A003265 A003266 A003267 * A003269 A003270 A003271 KEYWORD nonn AUTHOR EXTENSIONS More terms from Vaclav Kotesovec, May 01 2015 STATUS approved

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Last modified February 20 15:52 EST 2020. Contains 332078 sequences. (Running on oeis4.)