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A041221
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Denominators of continued fraction convergents to sqrt(122).
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4
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1, 22, 485, 10692, 235709, 5196290, 114554089, 2525386248, 55673051545, 1227332520238, 27056988496781, 596481079449420, 13149640736384021, 289888577279897882, 6390698340894137425, 140885252076950921232, 3105866244033814404529, 68469942620820867820870
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OFFSET
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0,2
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COMMENTS
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Also called the 22-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 22 kinds of squares available. (End)
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LINKS
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FORMULA
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a(n) = F(n, 22), the n-th Fibonacci polynomial evaluated at x=22. - T. D. Noe, Jan 19 2006
a(n) = 22*a(n-1) + a(n-2) for n > 1; a(0)=1, a(1)=22.
G.f.: 1/(1 - 22*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,less
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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