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 A190959 a(n) = 3*a(n-1) - 5*a(n-2), with a(0)=0, a(1)=1. 2
 0, 1, 3, 4, -3, -29, -72, -71, 147, 796, 1653, 979, -5328, -20879, -35997, -3596, 169197, 525571, 730728, -435671, -4960653, -12703604, -13307547, 23595379, 137323872, 293994721, 195364803, -883879196, -3628461603, -6465988829, -1255658472, 28562968729 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS This is the Lucas U(P=3,Q=5) sequence. - R. J. Mathar, Oct 24 2012 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Wikipedia, Lucas sequence Index entries for linear recurrences with constant coefficients, signature (3, -5). FORMULA a(n) = (1/11*I)*sqrt(11)*((3/2-(1/2*I)*sqrt(11))^n - (3/2+(1/2*I) *sqrt(11))^n). - Paolo P. Lava, Jun 01 2011 G.f.: x/(1-3x+5*x^2). - Philippe Deléham, Oct 11 2011 MATHEMATICA LinearRecurrence[{3, -5}, {0, 1}, 50] PROG (PARI) x='x+O('x^30); concat([0], Vec(x/(1-3x+5*x^2))) \\ G. C. Greubel, Jan 25 2018 (MAGMA) I:=[0, 1]; [n le 2 select I[n] else 3*Self(n-1) - 5*Self(n-2): n in [1..30]]; // G. C. Greubel, Jan 25 2018 CROSSREFS Cf. A190958 (index to generalized Fibonacci sequences). Sequence in context: A287463 A288404 A287986 * A038018 A108658 A240669 Adjacent sequences:  A190956 A190957 A190958 * A190960 A190961 A190962 KEYWORD sign,easy AUTHOR Vladimir Joseph Stephan Orlovsky, May 24 2011 STATUS approved

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Last modified March 22 21:49 EDT 2018. Contains 301083 sequences. (Running on oeis4.)