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 A291289 The Padovan sequence A000931 doubled. 2
 2, 0, 0, 2, 0, 2, 2, 2, 4, 4, 6, 8, 10, 14, 18, 24, 32, 42, 56, 74, 98, 130, 172, 228, 302, 400, 530, 702, 930, 1232, 1632, 2162, 2864, 3794, 5026, 6658, 8820, 11684, 15478, 20504, 27162, 35982, 47666, 63144, 83648, 110810, 146792, 194458, 257602, 341250 (list; graph; refs; listen; history; text; internal format)
 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 Cf. A000931. Sequence in context: A289323 A086937 A213024 * A095759 A260309 A046113 Adjacent sequences: A291286 A291287 A291288 * A291290 A291291 A291292 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Aug 29 2017 STATUS approved

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Last modified September 15 22:11 EDT 2024. Contains 375959 sequences. (Running on oeis4.)