A219990 Number of tilings of a 7 X n rectangle using dominoes and right trominoes.

1, 0, 117, 1984, 96139, 2746048, 100578811, 3238675344, 111496884663, 3704964324320, 125449223494157, 4205142104025144, 141722416759943105, 4762489676605782896, 160291284486676070239, 5390369708368427166312, 181353331398435867957049, 6099936611677114512527724

Offset: 0

Author

Alois P. Heinz, Dec 02 2012

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..300
• Vaclav Kotesovec, G.f. for A219990
• Index entries for linear recurrences with constant coefficients, 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).

Crossrefs

Column k=7 of A219987.

Formula

G.f.: see link above. - Vaclav Kotesovec, Dec 03 2012