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A343543
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a(n) = n*Lucas(2*n).
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1
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0, 3, 14, 54, 188, 615, 1932, 5901, 17656, 52002, 151270, 435633, 1244184, 3528759, 9949058, 27907470, 77933552, 216784731, 600935076, 1660672257, 4576522540, 12580566138, 34504747354, 94440719589, 257998970928, 703593828075, 1915713858422, 5208304147686
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: x*(3 - 4*x + 3*x^2)/(1 - 3*x + x^2)^2.
a(n) = 6*a(n-1) - 11*a(n-2) + 6*a(n-3) - a(n-4). - Wesley Ivan Hurt, Apr 19 2021
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MATHEMATICA
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Table[n*LucasL[2*n], {n, 0, 30}] (* Amiram Eldar, Apr 19 2021 *)
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PROG
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(PARI) a(n) = n*(fibonacci(2*n+1)+fibonacci(2*n-1)) \\ Andrew Howroyd, Jan 01 2024
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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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