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A165229
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a(n) = 12*a(n-1) - 6*a(n-2), with a(0)=1, a(1)=6.
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2
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1, 6, 66, 756, 8676, 99576, 1142856, 13116816, 150544656, 1727834976, 19830751776, 227602011456, 2612239626816, 29981263453056, 344101723675776, 3949333103390976, 45327386898637056, 520232644163298816, 5970827408567763456, 68528533037833368576, 786517432002593842176
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OFFSET
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0,2
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LINKS
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Andrew Howroyd, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (12,-6).
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FORMULA
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G.f.: (1 - 6*x)/(1 - 12*x + 6*x^2).
a(n) = (1/2)*((6+sqrt(30))^n + (6-sqrt(30))^n). - Paolo P. Lava, Sep 16 2009
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PROG
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(PARI) Vec((1 - 6*x)/(1 - 12*x + 6*x^2) + O(x^25)) \\ Andrew Howroyd, Apr 13 2021
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CROSSREFS
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Sequence in context: A022024 A186666 A129554 * A247740 A253621 A127857
Adjacent sequences: A165226 A165227 A165228 * A165230 A165231 A165232
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KEYWORD
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nonn,easy
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AUTHOR
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Philippe Deléham, Sep 09 2009
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EXTENSIONS
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Terms a(11) and beyond from Andrew Howroyd, Apr 13 2021
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STATUS
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approved
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