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 A134638 Row sums of triangle A134637. 2
 1, 8, 28, 76, 182, 406, 868, 1808, 3706, 7522, 15176, 30508, 61198, 122606, 245452, 491176, 982658, 1965658, 3931696, 7863812, 15728086, 31456678, 62913908, 125828416, 251657482, 503315666, 1006632088, 2013264988, 4026530846, 8053062622, 16106126236 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Colin Barker, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (5,-9,7,-2). FORMULA Binomial transform of [1, 7, 13, 15, 15, 15, ...]. G.f. x*(1+3*x-3*x^2+x^3) / ( (2*x-1)*(x-1)^3 ). - R. J. Mathar, Apr 04 2012 From Colin Barker, Nov 04 2017: (Start) a(n) = -8 + 15*2^(n-1) - 5*n - n^2. a(n) = 5*a(n-1) - 9*a(n-2) + 7*a(n-3) - 2*a(n-4) for n>4. (End) EXAMPLE a(3) = 28 = sum of row 3 terms of triangle A134637: 10 + 8 + 10. a(3) = 28 = (1, 2, 1) dot (1, 8, 28) = (1 + 14 + 13). MATHEMATICA LinearRecurrence[{5, -9, 7, -2}, {1, 8, 28, 76}, 40] (* Harvey P. Dale, Feb 24 2018 *) PROG (PARI) Vec(x*(1 + 3*x - 3*x^2 + x^3) / ((1 - x)^3*(1 - 2*x)) + O(x^40)) \\ Colin Barker, Nov 04 2017 CROSSREFS Cf. A134637. Sequence in context: A212565 A209408 A316214 * A293289 A305638 A331757 Adjacent sequences: A134635 A134636 A134637 * A134639 A134640 A134641 KEYWORD nonn,easy AUTHOR Gary W. Adamson, Nov 04 2007 EXTENSIONS Corrected by R. J. Mathar, Apr 04 2012 STATUS approved

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Last modified December 6 21:43 EST 2023. Contains 367616 sequences. (Running on oeis4.)