OFFSET
0,2
COMMENTS
See comments in A214727.
LINKS
Robert Price, Table of n, a(n) for n = 0..1000
Martin Burtscher, Igor Szczyrba, RafaĆ Szczyrba, Analytic Representations of the n-anacci Constants and Generalizations Thereof, Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.5.
Index entries for linear recurrences with constant coefficients, signature (1,1,1).
FORMULA
G.f.: (x^2-4*x-1)/(x^3+x^2+x-1).
MATHEMATICA
LinearRecurrence[{1, 1, 1}, {1, 5, 5}, 40] (* Ray Chandler, Dec 08 2013 *)
PROG
(PARI) my(x='x+O('x^40)); Vec((1+4*x-x^2)/(1-x-x^2-x^3)) \\ G. C. Greubel, Apr 24 2019
(Magma) R<x>:=PowerSeriesRing(Integers(), 40); Coefficients(R!( (1+4*x-x^2)/(1-x-x^2-x^3) )); // G. C. Greubel, Apr 24 2019
(Sage) ((1+4*x-x^2)/(1-x-x^2-x^3)).series(x, 40).coefficients(x, sparse=False) # G. C. Greubel, Apr 24 2019
(GAP) a:=[1, 5, 5];; for n in [4..40] do a[n]:=a[n-1]+a[n-2]+a[n-3]; od; a; # G. C. Greubel, Apr 24 2019
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Abel Amene, Jul 29 2012
STATUS
approved