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A163068
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a(n) = 16*a(n-1) - 59*a(n-2) for n > 1; a(0) = 2, a(1) = 21.
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2
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2, 21, 218, 2249, 23122, 237261, 2431978, 24913249, 255125282, 2612122821, 26741573498, 273749929529, 2802246036082, 28684690735101, 293622535632778, 3005563816753489, 30765291465721922, 314916398263094901
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OFFSET
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0,1
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COMMENTS
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Binomial transform of A163067.
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..985
Index entries for linear recurrences with constant coefficients, signature (16,-59).
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FORMULA
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a(n) = ((2+sqrt(5))*(8+sqrt(5))^n + (2-sqrt(5))*(8-sqrt(5))^n)/2.
G.f.: (2-11*x)/(1-16*x+59*x^2).
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MATHEMATICA
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LinearRecurrence[{16, -59}, {2, 21}, 30] (* G. C. Greubel, Jan 08 2018 *)
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PROG
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(MAGMA) [ n le 2 select 19*n-17 else 16*Self(n-1)-59*Self(n-2): n in [1..18] ];
(PARI) x='x+O('x^30); Vec((2-11*x)/(1-16*x+59*x^2)) \\ G. C. Greubel, Jan 08 2018
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CROSSREFS
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Cf. A163067.
Sequence in context: A037743 A037638 A131698 * A109684 A292134 A137287
Adjacent sequences: A163065 A163066 A163067 * A163069 A163070 A163071
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KEYWORD
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nonn
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AUTHOR
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Klaus Brockhaus, Jul 20 2009
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EXTENSIONS
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Definition corrected by Vincenzo Librandi, Dec 18 2010
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STATUS
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approved
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