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A163206
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a(n) = 20*a(n-1) - 92*a(n-2) for n > 1; a(0) = 1, a(1) = 10.
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1
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1, 10, 108, 1240, 14864, 183200, 2296512, 29075840, 370237696, 4729776640, 60533664768, 775533844480, 9941579730944, 127482480926720, 1635024283287552, 20972097420492800, 269019714347401216, 3450961324262686720, 44269412765292822528, 567899813473689272320
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OFFSET
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0,2
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COMMENTS
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Binomial transform of A152267. Tenth binomial transform of powers of 8 interleaved with zeros.
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LINKS
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FORMULA
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a(n) = ((10+sqrt(8))^n + (10-sqrt(8))^n)/2.
G.f.: (1-10*x)/(1-20*x+92*x^2).
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MATHEMATICA
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LinearRecurrence[{20, -92}, {1, 10}, 50] (* or *) Table[((10+Sqrt[8])^n + (10-Sqrt[8])^n)/2, {n, 0, 25}] (* G. C. Greubel, Dec 10 2016 *)
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PROG
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(Magma) [ n le 2 select 9*n-8 else 20*Self(n-1)-92*Self(n-2): n in [1..17] ];
(PARI) Vec((1-10*x)/(1-20*x+92*x^2) + O(x^50)) \\ G. C. Greubel, Dec 10 2016
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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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EXTENSIONS
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STATUS
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approved
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