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 A077946 Expansion of 1/(1-x-2*x^2-2*x^3). 2
 1, 1, 3, 7, 15, 35, 79, 179, 407, 923, 2095, 4755, 10791, 24491, 55583, 126147, 286295, 649755, 1474639, 3346739, 7595527, 17238283, 39122815, 88790435, 201512631, 457339131, 1037945263, 2355648787, 5346217575, 12133405675, 27537138399, 62496384899, 141837473047 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Discarding the first 1 = INVERT transform of [1,2,2,0,0,0,...] [From Gary W. Adamson, Feb 16 2010] LINKS Index entries for linear recurrences with constant coefficients, signature (1,2,2). FORMULA a(n) = leftmost term in M^n * [1 0 0], where M = the 3X3 matrix [1 1 1 / 2 0 0 / 0 1 0]. a(n) = a(n-1) + 2*a(n-2) + 2*a(n-3). a(n)/a(n-1) tends to 2.26953084..., an eigenvalue of M and a root of the characteristic polynomial x^3 - x^2 - 2x - 2. a(6) = 79 = 35 + 2*15 + 2*7 = a(5) + 2*a(4) + 2*a(3). - Gary W. Adamson, Dec 21 2004 PROG (PARI) Vec(1/(1-x-2*x^2-2*x^3)+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012 CROSSREFS Cf. A077970. Sequence in context: A217092 A153588 A221945 * A077970 A174284 A182892 Adjacent sequences:  A077943 A077944 A077945 * A077947 A077948 A077949 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Nov 17 2002 STATUS approved

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Last modified April 3 20:29 EDT 2020. Contains 333199 sequences. (Running on oeis4.)