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%I #24 Dec 29 2023 10:43:08
%S 1,2,7,18,53,146,415,1162,3277,9210,25927,72930,205221,577378,1624559,
%T 4570810,12860541,36184394,101808791,286449682,805956949,2267645362,
%U 6380262207,17951546602,50508589101,142111293594,399845261287,1125007225154
%N Expansion of 1/(1-2*x-3*x^2+2*x^3).
%H Iain Fox, <a href="/A046672/b046672.txt">Table of n, a(n) for n = 0..2226</a>
%H Richard M. Low and Ardak Kapbasov, <a href="https://www.emis.de/journals/JIS/VOL20/Low/low2.html">Non-Attacking Bishop and King Positions on Regular and Cylindrical Chessboards</a>, Journal of Integer Sequences, Vol. 20 (2017), Article 17.6.1, Table 6.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2, 3, -2).
%F a(n) = 2*a(n-1) + 3*a(n-2) - 2*a(n-3), n > 2. - _Iain Fox_, Dec 02 2017
%o (PARI) first(n) = Vec(1/(1-2*x-3*x^2+2*x^3) + O(x^n)) \\ _Iain Fox_, Dec 02 2017
%Y Partial sums of A054854.
%Y Cf. A101197.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_, Nov 17 2002
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