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A162674 Number of different fixed (possibly) disconnected tetrominoes bounded (not necessarily tightly) by an n X n square.

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%I A162674 #17 Nov 20 2021 11:34:36
%S A162674 0,1,97,956,4780,16745,46921,112672,241536,474585,870265,1508716,
%T A162674 2496572,3972241,6111665,9134560,13311136,18969297,26502321,36377020,
%U A162674 49142380,65438681,86007097,111699776,143490400,182485225,229934601
%N A162674 Number of different fixed (possibly) disconnected tetrominoes bounded (not necessarily tightly) by an n X n square.
%C A162674 Fixed quasi-tetrominoes.
%H A162674 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A162674 a(n) = n*(n-1)*(8*n^4-16*n^3-9*n^2+17*n+8)/12.
%F A162674 G.f.: x^2*(1+90*x+298*x^2+90*x^3+x^4)/(1-x)^7. [_Colin Barker_, Apr 25 2012]
%e A162674 a(2)=1: the (connected) square tetromino.
%Y A162674 Cf. A162673, A162675, A162676, A162677, A094171 (free quasi-tetrominoes).
%K A162674 nonn,easy
%O A162674 1,3
%A A162674 _David Bevan_, Jul 27 2009