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%I #24 Sep 12 2022 04:45:08
%S 1,22,243,2024,14981,104946,716045,4816620,32149313,213645182,
%T 1416316877,9376424198,62027820325,410158517056,2711528337463,
%U 17923333338880,118465285682767,782970312006472,5174749541752549,34200123937114224,226028308969773551,1493812891834066696
%N Number of tree polyominoes with width 4 and height n.
%H Maxime Samson, <a href="https://depot-e.uqtr.ca/id/eprint/9502/">Valence de graphes et polyominos arbres</a>, Mémoire, Trois-Rivières, Université du Québec à Trois-Rivières, 152 p., 2020.
%H <a href="/index/Rec#order_19">Index entries for linear recurrences with constant coefficients</a>, signature (15, -74, 86, 523, -2461, 4161, 681, -17782, 40652, -50933, 23841, 65154, -202154, 306084, -279336, 135024, -16128, -9216, 2304).
%F G.f.: (x + 7*x^2 - 13*x^3 - 79*x^4 + 188*x^5 + 64*x^6 - 723*x^7 + 831*x^8 - 335*x^9 + 185*x^10 + 2890*x^11 - 5272*x^12 - 192*x^13+4008*x^14 - 9368*x^15 + 10728*x^16 + 1680*x^17 - 1824*x^18 - 576*x^19)/((1 - 2*x)*(1 - 5*x + 4*x^2 + 7*x^3 - 21*x^4 + 24*x^5 - 6*x^6)*(1 - 8*x + 4*x^2 + 55*x^3 - 167*x^4 + 180*x^5 + 214*x^6 - 653*x^7 + 1232*x^8 - 2428*x^9 + 1968*x^10 - 96*x^11 - 192*x^12)).
%Y Cf. A348663.
%K nonn,easy
%O 1,2
%A _Maxime Samson_, Oct 30 2021