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Search: id:A003267
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| A003267 |
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Central Fibonomial coefficients.
(Formerly M4272)
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+0
2
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| 1, 6, 60, 1820, 136136, 27261234, 14169550626, 19344810307020, 69056421075989160, 645693859487298425256, 15803204856220738696714416, 1012673098498882654470985390406, 169885799961166470686816475170920550
(list; graph; listen)
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OFFSET
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2,2
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REFERENCES
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A. Brousseau, A sequence of power formulas, Fib. Quart., 6 (1968), 81-83.
A. Brousseau, Fibonacci and Related Number Theoretic Tables. Fibonacci Association, San Jose, CA, 1972, p. 74.
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FORMULA
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a(n)=(-1)^floor(n/2)*det(M(n, -1))/det(M(n, 0)) where M(n, m) is the n X n matrix with coefficient 1/F(i+j+m) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 05 2004
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MAPLE
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with(combinat); a[n] := product(fibonacci(n+k), k=0..n-2)/product(fibonacci(k), k=1..n-1);
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PROGRAM
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(PARI) a(n)=prod(k=0, n-2, fibonacci(n+k))/prod(k=1, n-1, fibonacci(k)) for(n=2, 14, print1(a(n), ", "))
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CROSSREFS
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Bisection of A003268. Cf. A008341.
Cf. A062381.
Sequence in context: A061573 A092356 A001416 this_sequence A010574 A082681 A061431
Adjacent sequences: A003264 A003265 A003266 this_sequence A003268 A003269 A003270
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de) and Rick L. Shepherd (rshepherd2(AT)hotmail.com), Mar 24 2002
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