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A042013
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Denominators of continued fraction convergents to sqrt(530).
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3
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1, 46, 2117, 97428, 4483805, 206352458, 9496696873, 437054408616, 20113999493209, 925681031096230, 42601441429919789, 1960591986807406524, 90229832834570619893, 4152532902377055921602, 191106743342179143013585, 8795062726642617634546512
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OFFSET
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0,2
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COMMENTS
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Also called the 46-metallonacci sequence; the g.f. 1/(1-k*x-x^2) gives the k-metallonacci sequence.
a(n) is the number of tilings of an n-board (a board with dimensions n X 1) using unit squares and dominoes (with dimensions 2 X 1) if there are 46 kinds of squares available. (End)
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LINKS
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FORMULA
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a(n) = F(n, 46), the n-th Fibonacci polynomial evaluated at x=46. - T. D. Noe, Jan 19 2006
a(n) = 46*a(n-1) + a(n-2) for n > 1; a(0)=1, a(1)=46.
G.f.: 1/(1-46*x-x^2). (End)
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MATHEMATICA
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CROSSREFS
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KEYWORD
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nonn,frac,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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