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A165229 a(n) = 12*a(n-1) - 6*a(n-2), with a(0)=1, a(1)=6. 2
1, 6, 66, 756, 8676, 99576, 1142856, 13116816, 150544656, 1727834976, 19830751776, 227602011456, 2612239626816, 29981263453056, 344101723675776, 3949333103390976, 45327386898637056, 520232644163298816, 5970827408567763456, 68528533037833368576, 786517432002593842176 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (12,-6).

FORMULA

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

PROG

(PARI) Vec((1 - 6*x)/(1 - 12*x + 6*x^2) + O(x^25)) \\ Andrew Howroyd, Apr 13 2021

CROSSREFS

Sequence in context: A022024 A186666 A129554 * A247740 A253621 A127857

Adjacent sequences:  A165226 A165227 A165228 * A165230 A165231 A165232

KEYWORD

nonn,easy

AUTHOR

Philippe Deléham, Sep 09 2009

EXTENSIONS

Terms a(11) and beyond from Andrew Howroyd, Apr 13 2021

STATUS

approved

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Last modified August 7 12:01 EDT 2022. Contains 355985 sequences. (Running on oeis4.)