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 A109543 a(n) = a(n-1) + a(n-3) + a(n-5). 10
 1, 1, 1, 1, 1, 3, 5, 7, 11, 17, 27, 43, 67, 105, 165, 259, 407, 639, 1003, 1575, 2473, 3883, 6097, 9573, 15031, 23601, 37057, 58185, 91359, 143447, 225233, 353649, 555281, 871873, 1368969, 2149483, 3375005, 5299255, 8320611, 13064585, 20513323, 32208939 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Peter Borwein and Kevin G. Hare, Some computations on Pisot and Salem numbers, 2000, table 1, p. 7. Peter Borwein and Kevin G. Hare, Some computations on the spectra of Pisot and Salem numbers, Math. Comp. 71 (2002), 767-780. Index entries for linear recurrences with constant coefficients, signature (1,0,1,0,1). FORMULA G.f.: (1 - x^3 - x^4) / (1 - x - x^3 - x^5). - Colin Barker, Dec 17 2017 MATHEMATICA LinearRecurrence[{1, 0, 1, 0, 1}, {1, 1, 1, 1, 1}, 60] (* Vladimir Joseph Stephan Orlovsky, Feb 18 2012 *) PROG (PARI) Vec((1 - x^3 - x^4) / (1 - x - x^3 - x^5) + O(x^50)) \\ Colin Barker, Dec 17 2017 (MAGMA) m:=50; R:=PowerSeriesRing(Integers(), m); Coefficients(R!((1 - x^3-x^4)/(1-x-x^3-x^5))); // G. C. Greubel, Nov 03 2018 CROSSREFS Cf. A107479, A107480, A109538, A109544, A114749, A125950, A130844, A143335, A147851. Sequence in context: A152999 A024967 A135246 * A229168 A248714 A091567 Adjacent sequences:  A109540 A109541 A109542 * A109544 A109545 A109546 KEYWORD nonn,easy AUTHOR Roger L. Bagula, Jun 20 2005 STATUS approved

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Last modified October 19 20:55 EDT 2019. Contains 328224 sequences. (Running on oeis4.)