A199930 Trisection 0 of A199803.

1, -2, -1, 12, -10, -49, 112, 111, -710, 316, 3233, -5634, -9505, 40592, -1934, -204897, 264664, 717295, -2243578, -873336, 12543857, -11138050, -50210993, 119318436, 108054622, -743719745, 372976064, 3334358847, -6051013534, -9504084892, 42720535345, -4585483266, -212470264817, 287622301384

Offset: 0

Author

N. J. A. Sloane, Nov 12 2011

Keywords

• sign
• easy

Comments

Also trisection 1 of A199744, negated.

Links

• Colin Barker, Table of n, a(n) for n = 0..1000
• Michael D. Hirschhorn, 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).

Crossrefs

Cf. A199744, A199803.

Programs

Mathematica

LinearRecurrence[{-1,-5,1,-1},{1,-2,-1,12},40] (* Harvey P. Dale, May 20 2025 *)

PARI

Vec((1 - 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 - 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)