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A081280
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Binomial transform of Chebyshev coefficients A006974.
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3
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1, 10, 69, 398, 2057, 9858, 44685, 194022, 813969, 3319866, 13224789, 51635070, 198148761, 749016882, 2794021533, 10300389462, 37575535905, 135782112618, 486470994021, 1729358969454, 6104068084521, 21404982017250, 74609825192109
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (15,-90,270,-405,243).
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FORMULA
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a(n) = (n^4+24*n^3+164*n^2+378*n+243) * 3^(n-5).
a(n) = 15*a(n-1) -90*a(n-2) +270a*(n-3) -405*a(n-4) +243*a(n-5).
G.f.: (1-2*x)*(1-x)^3/(1-3*x)^5.
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MATHEMATICA
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CoefficientList[Series[(1 - 2 x) (1 - x)^3 / (1 - 3 x)^5, {x, 0, 40}], x] (* Vincenzo Librandi, Aug 07 2013 *)
LinearRecurrence[{15, -90, 270, -405, 243}, {1, 10, 69, 398, 2057}, 30] (* Harvey P. Dale, May 05 2019 *)
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PROG
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(Magma) [(n^4+24*n^3+164*n^2+378*n+243)*3^(n-5): n in [0..25]]; // Vincenzo Librandi, Aug 07 2013 *)
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CROSSREFS
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Cf. A007051, A006234, A081279, A081281.
Sequence in context: A321060 A026958 A026988 * A038806 A016273 A128737
Adjacent sequences: A081277 A081278 A081279 * A081281 A081282 A081283
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry, Mar 16 2003
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STATUS
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approved
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