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 A053566 Expansion of (11*x-2)/(1-3*x)^2. 1

%I

%S -2,-1,12,81,378,1539,5832,21141,74358,255879,866052,2893401,9565938,

%T 31355019,102036672,330024861,1061819118,3400690959,10847773692,

%U 34480423521,109252577898,345191655699

%N Expansion of (11*x-2)/(1-3*x)^2.

%D A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 189, 194-196.

%H Harvey P. Dale, <a href="/A053566/b053566.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (6,-9).

%F a(n) = 3^(n-1)*(5*n-6).

%F a(n) = 6*a(n-1) - 9*a(n-2), with a(0) = -2, a(1) = -1.

%F E.g.f.: (5*x - 2)*exp(3*x). - _G. C. Greubel_, May 16 2019

%t LinearRecurrence[{6,-9},{-2,-1},30] (* _Harvey P. Dale_, Jun 26 2012 *)

%o (PARI) Vec((11*x-2)/(1-3*x)^2 + O(x^30)) \\ _Michel Marcus_, Dec 03 2014

%o (MAGMA) [3^(n-1)*(5*n-6) : n in [0..30]]; // _G. C. Greubel_, May 16 2019

%o (Sage) [3^(n-1)*(5*n-6) for n in (0..30)] # _G. C. Greubel_, May 16 2019

%o (GAP) List([0..30], n-> 3^(n-1)*(5*n-6)) # _G. C. Greubel_, May 16 2019

%Y Cf. A023444.

%K easy,sign

%O 0,1

%A _Barry E. Williams_, Jan 17 2000

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Last modified August 14 07:59 EDT 2020. Contains 336477 sequences. (Running on oeis4.)