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A199931 Trisection 1 of A199803. 1

%I #21 Dec 27 2017 14:54:26

%S -1,2,4,-15,-2,79,-88,-294,815,488,-4769,3438,20080,-42527,-49666,

%T 278943,-93220,-1308634,2103343,4067664,-15799793,-1126550,82089836,

%U -96324543,-299451394,864290495,454552096,-4979131422,3870112831,20615805880,-45400053553,-48829731594,292575692408

%N Trisection 1 of A199803.

%H Colin Barker, <a href="/A199931/b199931.txt">Table of n, a(n) for n = 0..1000</a>

%H Hirschhorn, Michael D., <a href="http://www.fq.math.ca/43-4.html">Non-trivial intertwined second-order recurrence relations</a>, Fibonacci Quart. 43 (2005), no. 4, 316-325. See p. 324.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (-1,-5,1,-1).

%F From _Colin Barker_, Dec 27 2017: (Start)

%F G.f.: -(1 - x - x^2) / (1 + x + 5*x^2 - x^3 + x^4).

%F a(n) = -a(n-1) - 5*a(n-2) + a(n-3) - a(n-4) for n>3.

%F (End)

%t CoefficientList[ Series[(-1 +x +x^2)/(1 +x +5x^2 -x^3 +x^4), {x, 0, 30}], x] (* or *)

%t LinearRecurrence[{-1, -5, 1, -1}, {-1, 2, 4, -15}, 30] (* _Robert G. Wilson v_, Dec 27 2017 *)

%o (PARI) Vec(-(1 - x - x^2) / (1 + x + 5*x^2 - x^3 + x^4) + O(x^40)) \\ _Colin Barker_, Dec 27 2017

%K sign,easy

%O 0,2

%A _N. J. A. Sloane_, Nov 12 2011

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Last modified March 29 05:43 EDT 2024. Contains 371264 sequences. (Running on oeis4.)