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Search: a067010 -id:a067010
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a(2n) and a(2n+1) are side lengths of a Beentjes sequence of perfect squared rectangles, starting with a 33 X 32 rectangle.
+10
2
33, 32, 683, 781, 15323, 17470, 343253, 391369, 7689473, 8767348, 172257683, 196403977, 3858874283, 4399793626, 86445553373, 98563095565, 1936532042753, 2207986245064, 43381714920923, 49462765251493, 971826516645083, 1108052711738422, 21770618800480133
OFFSET
0,1
FORMULA
a(2n) = 11a(2n-2)+10a(2n-1), a(2n+1) = 13a(2n-2)+11a(2n-1), a(0) = 33, a(1) = 32.
a(n) = 22*a(n-2)+9*a(n-4) for n>3. - Colin Barker, May 28 2015
G.f.: -(77*x^3-43*x^2+32*x+33) / (9*x^4+22*x^2-1). - Colin Barker, May 28 2015
MATHEMATICA
LinearRecurrence[{0, 22, 0, 9}, {33, 32, 683, 781}, 30] (* Harvey P. Dale, Sep 22 2023 *)
PROG
(PARI) Vec(-(77*x^3-43*x^2+32*x+33) / (9*x^4+22*x^2-1) + O(x^100)) \\ Colin Barker, May 28 2015
CROSSREFS
Cf. A067010.
KEYWORD
easy,nonn
AUTHOR
Floor van Lamoen, Dec 26 2001
STATUS
approved

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