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 A081279 Binomial transform of Chebyshev coefficients A001794. 5
 1, 8, 47, 238, 1101, 4788, 19899, 79866, 311769, 1189728, 4454919, 16415622, 59659173, 214229772, 761200659, 2679525522, 9353893041, 32409397944, 111534054111, 381480041502, 1297471217661, 4390248981348, 14785128121707 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (12,-54,108,-81). FORMULA a(n) = (2*n^3 + 30*n^2 + 103*n + 81) * 3^(n-4). a(n) = 12*a(n-1) -54*a(n-2) +108*a(n-3) +8*1a(n-4), a(0)=1, a(1)=8, a(2)=47, a(3)=238. G.f.: (1-2*x)*(1-x)^2/(1-3*x)^4. MATHEMATICA CoefficientList[Series[(1 - 2 x) (1 - x)^2 / (1 - 3 x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Aug 07 2013 *) LinearRecurrence[{12, -54, 108, -81}, {1, 8, 47, 238}, 30] (* Harvey P. Dale, Jul 27 2015 *) PROG (Magma) [(2*n^3+30*n^2 + 103*n + 81)*3^(n - 4): n in [0..25]]; // Vincenzo Librandi, Aug 07 2013 CROSSREFS Cf. A007051, A006234, A081278, A081280. Sequence in context: A230622 A026983 A296331 * A099110 A106393 A300167 Adjacent sequences: A081276 A081277 A081278 * A081280 A081281 A081282 KEYWORD easy,nonn AUTHOR Paul Barry, Mar 16 2003 STATUS approved

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Last modified June 10 03:49 EDT 2023. Contains 363187 sequences. (Running on oeis4.)