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A026795 Expansion of 1/((1-2*x)*(1-6*x)*(1-9*x)*(1-10*x)). 1

%I #17 Sep 08 2022 08:44:49

%S 1,27,475,6915,90571,1110147,13011355,147722355,1638222091,

%T 17846324067,191730867835,2037261517395,21455455896811,

%U 224319716510787,2331201129229915,24104752246858035,248186422724438731

%N Expansion of 1/((1-2*x)*(1-6*x)*(1-9*x)*(1-10*x)).

%H G. C. Greubel, <a href="/A026795/b026795.txt">Table of n, a(n) for n = 0..980</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (27,-254,948,-1080).

%F a(n) = (875*10^n -972*9^n +126*6^n -2^n)/28. - _R. J. Mathar_, Jun 23 2013

%F E.g.f.: (875*exp(10*x) - 972*exp(9*x) + 126*exp(6*x) - exp(2*x))/28. - _G. C. Greubel_, Nov 02 2019

%p seq((875*10^n -972*9^n +126*6^n -2^n)/28, n=0..30); # _G. C. Greubel_, Nov 02 2019

%t Table[(875*10^n -972*9^n +126*6^n -2^n)/28, {n,0,30}] (* _G. C. Greubel_, Nov 02 2019 *)

%o (PARI) vector(31, n, (875*10^(n-1) -972*9^(n-1) +126*6^(n-1) -2^(n-1))/28) \\ _G. C. Greubel_, Nov 02 2019

%o (Magma) [(875*10^n -972*9^n +126*6^n -2^n)/28: n in [0..30]]; // _G. C. Greubel_, Nov 02 2019

%o (Sage) [(875*10^n -972*9^n +126*6^n -2^n)/28 for n in (0..30)] # _G. C. Greubel_, Nov 02 2019

%o (GAP) List([0..30], n-> (875*10^n -972*9^n +126*6^n -2^n)/28); # _G. C. Greubel_, Nov 02 2019

%K nonn

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)