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A163166
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a(n) = 20*a(n-1)-95*a(n-2) for n > 1; a(0) = 1, a(1) = 10.
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0
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1, 10, 105, 1150, 13025, 151250, 1787625, 21383750, 257850625, 3125556250, 38015315625, 463378468750, 5656114390625, 69101333281250, 844695798515625, 10329289308593750, 126339685312890625, 1545511221941406250
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OFFSET
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0,2
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COMMENTS
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Binomial transform of A152261. Tenth binomial transform of powers of 5 interleaved with zeros.
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LINKS
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FORMULA
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a(n) = ((10+sqrt(5))^n+(10-sqrt(5))^n)/2.
G.f.: (1-10*x)/(1-20*x+95*x^2).
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MATHEMATICA
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LinearRecurrence[{20, -95}, {1, 10}, 20] (* Harvey P. Dale, Jul 08 2017 *)
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PROG
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(Magma) [ n le 2 select 9*n-8 else 20*Self(n-1)-95*Self(n-2): n in [1..18] ];
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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