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 A278612 Sum of terms in level n of TRIP - Stern sequence associated with permutation triple (e, e, e). 5
 3, 8, 22, 60, 162, 436, 1174, 3164, 8530, 22996, 61990, 167100, 450434, 1214196, 3273014, 8822812, 23782962, 64109844, 172815814, 465845884, 1255743842, 3385009204, 9124701142, 24596733916, 66303466770, 178729002068, 481785610086, 1298711297084, 3500833146178, 9436918539636, 25438353615990 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Colin Barker, Table of n, a(n) for n = 0..1000 I. Amburg, K. Dasaratha, L. Flapan, T. Garrity, C. Lee, C. Mihailak, N. Neumann-Chun, S. Peluse, M. Stoffregen, Stern Sequences for a Family of Multidimensional Continued Fractions: TRIP-Stern Sequences, arXiv:1509.05239 [math.CO], 17 Sep 2015. Index entries for linear recurrences with constant coefficients, signature (4,-5,4). FORMULA a(n) = A271896(n) + A271897(n) + A271898(n). - R. J. Mathar, Dec 02 2016 From Colin Barker, Jan 09 2018: (Start) G.f.: (3 - 4*x + 5*x^2) / (1 - 4*x + 5*x^2 - 4*x^3). a(n) = 4*a(n-1) - 5*a(n-2) + 4*a(n-3) for n>2. (End) PROG (PARI) Vec((3 - 4*x + 5*x^2) / (1 - 4*x + 5*x^2 - 4*x^3) + O(x^40)) \\ Colin Barker, Jan 09 2018 CROSSREFS Cf. A278613, A278614, A278615, A278616. Sequence in context: A300662 A055887 A318901 * A024581 A028859 A155020 Adjacent sequences:  A278609 A278610 A278611 * A278613 A278614 A278615 KEYWORD nonn,easy AUTHOR Ilya Amburg, Nov 23 2016 STATUS approved

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Last modified March 21 07:23 EDT 2019. Contains 321367 sequences. (Running on oeis4.)