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A131519 a(1) = 1, a(2) = 6, a(3) = 66, a(4) = 714, and a(n) = 11*a(n-1) - 24*a(n-3) for n >= 5.

%I A131519 #21 Jul 03 2023 08:39:11
%S A131519 1,6,66,714,7710,83226,898350,9696810,104667486,1129781946,
%T A131519 12194877966,131631637962,1420833250878,15336488688474,
%U A131519 165542216262126,1786864380862314,19287432460962078,208188743880291834,2247191437542514638,24256207433904571146,261821751919823278590
%N A131519 a(1) = 1, a(2) = 6, a(3) = 66, a(4) = 714, and  a(n) = 11*a(n-1) - 24*a(n-3) for n >= 5.
%H A131519 G. C. Greubel, <a href="/A131519/b131519.txt">Table of n, a(n) for n = 1..950</a>
%H A131519 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (11, 0, -24).
%F A131519 For n>4, a(n) = 11*a(n-1) - 24*a(n-3). - _Max Alekseyev_, Sep 29 2007
%F A131519 G.f.: x*(1-2*x)*(1-3*x-6*x^2)/(1-11*x+24*x^3). - _R. J. Mathar_, Nov 14 2007
%t A131519 LinearRecurrence[{11, 0, -24}, {1, 6, 66, 714}, 30] (* _G. C. Greubel_, Feb 14 2021 *)
%o A131519 (Sage)
%o A131519 def A131519_list(prec):
%o A131519     P.<x> = PowerSeriesRing(ZZ, prec)
%o A131519     return P( x*(1-2*x)*(1-3*x-6*x^2)/(1-11*x+24*x^3) ).list()
%o A131519 a=A131519_list(31); a[1:] # _G. C. Greubel_, Feb 14 2021
%o A131519 (Magma) I:=[6, 66, 714]; [1] cat [n le 3 select I[n] else 11*Self(n-1) -24*Self(n-3): n in [1..30]]; // _G. C. Greubel_, Feb 14 2021
%Y A131519 Previously this sequence was thought to represent what now is A354228.
%K A131519 nonn
%O A131519 1,2
%A A131519 _Yasutoshi Kohmoto_, Aug 15 2007, Oct 03 2007
%E A131519 More terms from _Max Alekseyev_, Sep 29 2007
%E A131519 Edited by _Max Alekseyev_, Jul 18 2022