A219990 - OEIS

%I #9 Aug 19 2024 08:45:40

%S 1,0,117,1984,96139,2746048,100578811,3238675344,111496884663,

%T 3704964324320,125449223494157,4205142104025144,141722416759943105,

%U 4762489676605782896,160291284486676070239,5390369708368427166312,181353331398435867957049,6099936611677114512527724

%N Number of tilings of a 7 X n rectangle using dominoes and right trominoes.

%H Alois P. Heinz, <a href="/A219990/b219990.txt">Table of n, a(n) for n = 0..300</a>

%H Vaclav Kotesovec, <a href="/A219990/a219990.txt">G.f. for A219990</a>

%H <a href="/index/Rec#order_64">Index entries for linear recurrences with constant coefficients</a>, signature (16, 828, -4894, -129950, 938794, 3076050, -73254056, 421387662, 849120418, -13714442525, 30545493728, 14247793479, -434718686270, -107645686099, -1299668668124, 35772839257223, -35931151572218, -119742324469870, -78216388113118, 1299560070314604, 1695384887837968, -25717356362574307, 50034906477121890, 10984539052892183, -199056082381036950, 381880294522734602, -478812415872955104, 1074167100263519206, -1179118001816919606, -174464365325254476, 2263121403940087100, -7629116999653731671, 16803247405222769324, -22344349883539447498, -4000409234281186364, -1706838123391389358, 13090805659244841300, 61003711574632273267, -57770563416503518400, 46875462436502843417, 5466013676505127022, -105153829059235247366, -120388104859890694460, 186194603632741562421, 129437236988775243440, -205177320074449805604, 155777539607171964998, -70147759384372501785, -110875152336965128526, 119895950939565612691, -23617010427386852756, -394683463178827092, -7789531116648697390, 1361975286360726935, 4555495413222005656, -2334498777819868462, 241757533961242782, 92501547981895820, -19476665773899792, -1134607808488740, 115594985559448, -6099935845648, -754632052096, 1782882432).

%F G.f.: see link above. - _Vaclav Kotesovec_, Dec 03 2012

%Y Column k=7 of A219987.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Dec 02 2012