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 A163941 Fourth right hand column of triangle A163940. 4
 1, 9, 52, 246, 1039, 4083, 15274, 55152, 193957, 668397, 2266816, 7589418, 25143355, 82571751, 269173078, 871958244, 2809322833, 9008574945, 28768068460, 91532284830, 290283189991, 917912770779, 2894936303362 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Harry Crane, Left-right arrangements, set partitions, and pattern avoidance, Australasian Journal of Combinatorics, 61(1) (2015), 57-72. Index entries for linear recurrences with constant coefficients, signature (9,-29,39,-18). FORMULA G.f.: 1/((1-x)*(1-2*x)*(1-3*x)^2). a(n) = (1/4)*(2^(n+5) + (2*n - 3)*3^(n+2) - 1). a(n) = 9*a(n-1) - 29*a(n-2) + 39*a(n-3) - 18*a(n-4). E.g.f.: (1/4)*(32*exp(2*x) + 27*(2*x-1)*exp(3*x) - exp(x)). - G. C. Greubel, Aug 13 2017 MATHEMATICA LinearRecurrence[{9, -29, 39, -18}, {1, 9, 52, 246}, 30] (* or *) CoefficientList[ Series[1/((1-x)(1-2x)(1-3x)^2), {x, 0, 30}], x] (* Harvey P. Dale, Aug 14 2011 *) PROG (PARI) Vec(1/((1-x)*(1-2*x)*(1-3*x)^2) + O(x^30)) \\ Michel Marcus, Feb 12 2015 CROSSREFS Equals the fourth right hand column of A163940. A163942 is another right hand column. Sequence in context: A197722 A172470 A120665 * A289418 A292488 A282179 Adjacent sequences: A163938 A163939 A163940 * A163942 A163943 A163944 KEYWORD easy,nonn AUTHOR Johannes W. Meijer, Aug 13 2009 STATUS approved

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Last modified July 12 20:37 EDT 2024. Contains 374252 sequences. (Running on oeis4.)