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A162757
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a(n) = 12*a(n-1)-33*a(n-2) for n > 1; a(0) = 1, a(1) = 7.
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2
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1, 7, 51, 381, 2889, 22095, 169803, 1308501, 10098513, 78001623, 602768547, 4659169005, 36018666009, 278471414943, 2153041001019, 16646935319109, 128712870795681, 995205584017575, 7694942271953427, 59497522990861149
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OFFSET
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0,2
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COMMENTS
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Sixth binomial transform of A108411. Binomial transform of A162558. Inverse binomial transform of A162758.
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LINKS
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FORMULA
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a(n) = ((3+sqrt(3))*(6+sqrt(3))^n+(3-sqrt(3))*(6-sqrt(3))^n)/6.
G.f.: (1-5*x)/(1-12*x+33*x^2).
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PROG
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(Magma) [ n le 2 select 6*n-5 else 12*Self(n-1)-33*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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