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A322497 Number of tilings of a 4 X n rectangle using V (2m+1)-ominoes (m >= 0) in standard orientation.

%I A322497 #14 May 02 2022 18:35:34
%S A322497 1,1,5,18,68,233,838,2989,10687,38097,136002,485370,1732377,6182628,
%T A322497 22065919,78752901,281068809,1003130814,3580164896,12777572157,
%U A322497 45603031014,162756761629,580877276331,2073145244569,7399034871398,26407082201462,94246615039341
%N A322497 Number of tilings of a 4 X n rectangle using V (2m+1)-ominoes (m >= 0) in standard orientation.
%C A322497 The shapes of the tiles are:
%C A322497                        ._.
%C A322497               ._.      | |
%C A322497        ._.    | |      | |
%C A322497   ._.  | |_.  | |_._.  | |_._._.
%C A322497   |_|  |___|  |_____|  |_______|  .
%H A322497 Alois P. Heinz, <a href="/A322497/b322497.txt">Table of n, a(n) for n = 0..1000</a>
%H A322497 Wikipedia, <a href="https://en.wikipedia.org/wiki/Polyomino">Polyomino</a>
%H A322497 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (1,5,9,17,13,5,-2,-2).
%F A322497 G.f.: -(x+1)*(x^3+x-1)/((2*x^2+1)*(x^6+x^5-3*x^4-7*x^3-7*x^2-x+1)).
%t A322497 LinearRecurrence[{1,5,9,17,13,5,-2,-2},{1,1,5,18,68,233,838,2989},30] (* _Harvey P. Dale_, May 02 2022 *)
%Y A322497 Column k=4 of A322494.
%K A322497 nonn,easy
%O A322497 0,3
%A A322497 _Alois P. Heinz_, Dec 12 2018