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 A272123 a(n) = Fibonacci(3n) - Fibonacci(2n). 0
 0, 1, 5, 26, 123, 555, 2440, 10569, 45381, 193834, 825275, 3506867, 14883984, 63124593, 267596485, 1134071130, 4805348667, 20359308187, 86252640920, 365396207993, 1547906421765, 6557202405546, 27777188626555, 117667194149091, 498449204352288 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..24. Index entries for linear recurrences with constant coefficients, signature (7,-12,1,1). FORMULA a(n) = A014445(n) - A001906(n). G.f.: -x*(3*x^2-2*x+1)/((x^2-3*x+1)*(x^2+4*x-1)). - Alois P. Heinz, Apr 21 2016 E.g.f.: (exp(-(sqrt(5)-2)*x)*(exp(2*sqrt(5)*x) + exp((sqrt(5)-1)*x/2) - exp((3*sqrt(5)-1)x/2) - 1))/sqrt(5). - Ilya Gutkovskiy, Apr 22 2016 MAPLE a:= n-> (<<0|1|0|0>, <0|0|1|0>, <0|0|0|1>, <1|1|-12|7>>^n. <<0, 1, 5, 26>>)[1, 1]: seq(a(n), n=0..30); # Alois P. Heinz, Apr 21 2016 MATHEMATICA Table[Fibonacci[3n] - Fibonacci[2n], {n, 0, 25}] (* Robert Price, Apr 21 2016 *) PROG (PARI) a(n) = fibonacci(3*n) - fibonacci(2*n); \\ Michel Marcus, Apr 21 2016 CROSSREFS Cf. A000045, A001906, A014445, A098317. Sequence in context: A185552 A171702 A254825 * A360311 A285905 A344218 Adjacent sequences: A272120 A272121 A272122 * A272124 A272125 A272126 KEYWORD nonn,easy AUTHOR Peter M. Chema, Apr 21 2016 STATUS approved

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Last modified June 2 20:13 EDT 2023. Contains 363100 sequences. (Running on oeis4.)