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a(n) = T(10,n), array T given by A048505.
1

%I #16 Sep 08 2022 08:45:59

%S 1,122,387,965,2221,4941,10813,23453,50589,108701,232861,497565,

%T 1060765,2256797,4792221,10157981,21495709,45416349,95813533,

%U 201850781,424673181,892338077,1872756637,3925868445,8220835741,17196646301

%N a(n) = T(10,n), array T given by A048505.

%H Vincenzo Librandi, <a href="/A195856/b195856.txt">Table of n, a(n) for n = 0..2000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (7,-18,20,-8).

%F a(n) = (n^2+41*n+400)*2^(n-2)-99.

%F a(n) = 7*a(n-1)-18*a(n-2)+20*a(n-3)-8*a(n-4). - _Colin Barker_, Feb 25 2015

%F G.f.: (432*x^3-449*x^2+115*x+1) / ((x-1)*(2*x-1)^3). _Colin Barker_, Feb 25 2015

%t LinearRecurrence[{7,-18,20,-8},{1,122,387,965},30] (* _Harvey P. Dale_, Dec 29 2014 *)

%o (Magma) [(n^2+41*n+400)*2^(n-2)-99: n in [0..30]]

%o (PARI) a(n)=(n^2+41*n+400)<<(n-2)-99 \\ _Charles R Greathouse IV_, Dec 27 2011

%o (PARI) Vec((432*x^3-449*x^2+115*x+1) / ((x-1)*(2*x-1)^3) + O(x^100)) \\ _Colin Barker_, Feb 25 2015

%Y Cf. A048506, A048507, A048508, A048509, A048510, A048511, A048512, A048513, A048514, A048515, A195855.

%K nonn,easy,less

%O 0,2

%A _Vincenzo Librandi_, Sep 25 2011