A199933 Trisection 0 of A199744.
1, 1, -4, 0, 20, -25, -71, 216, 94, -1220, 1037, 4941, -11440, -11008, 72112, -33453, -326675, 577060, 950750, -4129272, 279257, 20740793, -27217100, -72078336, 228625372, 83808415, -1271796511, 1153458144, 5060707454, -12183603100, -10694679515, 75519944325, -39290857304, -336819940736
Offset: 0
Links
- Colin Barker, Table of n, a(n) for n = 0..1000
- Hirschhorn, Michael D., Non-trivial intertwined second-order recurrence relations, Fibonacci Quart. 43 (2005), no. 4, 316-325. See p. 324.
- Index entries for linear recurrences with constant coefficients, signature (-1,-5,1,-1).
Programs
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Mathematica
CoefficientList[ Series[(1 +2x +2x^2)/(1 +x +5x^2 -x^3 +x^4), {x, 0, 33}], x] (* or *) LinearRecurrence[{-1, -5, 1, -1}, {1, 1, -4, 0}, 33] (* Robert G. Wilson v, Dec 27 2017 *) -
PARI
Vec((1 + 2*x + 2*x^2) / (1 + x + 5*x^2 - x^3 + x^4) + O(x^40)) \\ Colin Barker, Dec 27 2017
Formula
From Colin Barker, Dec 27 2017: (Start)
G.f.: (1 + 2*x + 2*x^2) / (1 + x + 5*x^2 - x^3 + x^4).
a(n) = -a(n-1) - 5*a(n-2) + a(n-3) - a(n-4) for n>3.
(End)
Comments