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A163148
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a(n) = 16*a(n-1) - 59*a(n-2) for n > 1; a(0) = 1, a(1) = 13.
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1
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1, 13, 149, 1617, 17081, 177893, 1838509, 18920457, 194255281, 1991777533, 20407378949, 209003188737, 2140015661801, 21909062453333, 224284075207069, 2295910518566457, 23501807859846241, 240570205162118893
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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a(n) = ((1+sqrt(5))*(8+sqrt(5))^n+(1-sqrt(5))*(8-sqrt(5))^n)/2.
G.f.: (1-3*x)/(1-16*x+59*x^2).
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PROG
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(Magma) [ n le 2 select 12*n-11 else 16*Self(n-1)-59*Self(n-2): n in [1..18] ];
(PARI) Vec((1-3*x)/(1-16*x+59*x^2) + O(x^30)) \\ Jinyuan Wang, Mar 23 2020
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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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