cp's OEIS Frontend

A360999 Number of tilings of an n X 2 rectangle by integer-sided rectangular pieces that cannot be rearranged to produce a different tiling of the rectangle (including rotations and reflections of the original tiling).

%I A360999 #24 Mar 04 2023 11:43:30
%S A360999 2,2,3,4,3,6,3,6,5,6,3,10,3,6,7,8,3,10,3,10,7,6,3,14,5,6,7,10,3,14,3,
%T A360999 10,7,6,7,16,3,6,7,14,3,14,3,10,11,6,3,18,5,10,7,10,3,14,7,14,7,6,3,
%U A360999 22,3,6,11,12,7,14,3,10,7,14,3,22,3,6,11,10,7,14
%N A360999 Number of tilings of an n X 2 rectangle by integer-sided rectangular pieces that cannot be rearranged to produce a different tiling of the rectangle (including rotations and reflections of the original tiling).
%F A360999 a(n) = 2*A000005(n) - 1 - [n even] = A114003(n) + A000035(n) - 1 for n >= 2.
%Y A360999 Second column of A360998.
%Y A360999 Essentially the same as A086369.
%Y A360999 Cf. A000005, A000035, A114003, A360631, A361004.
%K A360999 nonn
%O A360999 1,1
%A A360999 _Pontus von Brömssen_, Feb 28 2023