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 A083580 Binomial transform of A083579. 2
 0, 1, 3, 10, 34, 114, 374, 1202, 3798, 11842, 36550, 111954, 340982, 1034210, 3127206, 9434866, 28419286, 85503618, 257035142, 772219538, 2319017910, 6962034466, 20896589158, 62711787570, 188181500054, 564640969154 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..25. Index entries for linear recurrences with constant coefficients, signature (7,-16,12). FORMULA a(n) = 2*3^n/3-5*0^n/12-(n+1)*2^(n-2). G.f.: x*(1-4*x+5*x^2)/((1-2*x)^2*(1-3*x)). - Colin Barker, Apr 16 2012 EXAMPLE a(0) = 2/3-5/12-1/4 = 0 (use 0^0=1). MATHEMATICA CoefficientList[Series[x*(1 - 4*x + 5*x^2)/((1 - 2*x)^2*(1 - 3*x)), {x, 0, 30}], x] (* Wesley Ivan Hurt, Dec 28 2023 *) CROSSREFS Cf. A083579. Sequence in context: A308499 A034215 A193036 * A255631 A289601 A291337 Adjacent sequences: A083577 A083578 A083579 * A083581 A083582 A083583 KEYWORD easy,nonn AUTHOR Paul Barry, May 01 2003 STATUS approved

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Last modified July 18 18:59 EDT 2024. Contains 374388 sequences. (Running on oeis4.)