OFFSET
0,1
COMMENTS
Like A000931, this sequence has the property that the largest of any four consecutive terms equals the sum of the two smallest.
LINKS
Michael De Vlieger, Table of n, a(n) for n = 0..8192
David Nacin, Van der Laan Sequences and a Conjecture on Padovan Numbers, J. Int. Seq., Vol. 26 (2023), Article 23.1.2.
Index entries for linear recurrences with constant coefficients, signature (0,1,1).
FORMULA
G.f.: 2*(1-x^2)/(1-x^2-x^3).
MATHEMATICA
CoefficientList[Series[2*(1 - x^2)/(1 - x^2 - x^3), {x, 0, 49}], x] (* Michael De Vlieger, Mar 21 2023 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Aug 29 2017
STATUS
approved