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A162758
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a(n) = 14*a(n-1)-46*a(n-2) for n > 1; a(0) = 1, a(1) = 8.
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2
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1, 8, 66, 556, 4748, 40896, 354136, 3076688, 26783376, 233439616, 2036119328, 17767448256, 155082786496, 1353856391168, 11820181297536, 103205144171776, 901143678718208, 7868574870153216, 68707438961107456, 599949701428456448
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OFFSET
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0,2
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COMMENTS
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Seventh binomial transform of A108411. Binomial transform of A162757. Inverse binomial transform of A162759.
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LINKS
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FORMULA
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a(n) = ((3+sqrt(3))*(7+sqrt(3))^n+(3-sqrt(3))*(7-sqrt(3))^n)/6.
G.f.: (1-6*x)/(1-14*x+46*x^2).
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MATHEMATICA
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LinearRecurrence[{14, -46}, {1, 8}, 30] (* Harvey P. Dale, Apr 09 2012 *)
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PROG
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(Magma) [ n le 2 select 7*n-6 else 14*Self(n-1)-46*Self(n-2): n in [1..20] ];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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