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%I A197462 #18 Jun 03 2022 11:17:01
%S A197462 1,3,3,9,14,38,74,185,414,1026,2440,6077,14926,37454,93749,237035,
%T A197462 599815,1526020,3889117,9944523,25475398,65416733,168277945,433705325,
%U A197462 1119610147,2894928713
%N A197462 Number of free poly-[4.6.12]-tiles (holes allowed) with n cells (division into triangles is significant).
%C A197462 [4.6.12] refers to the face configuration of the kisrhombille tiling. - _Peter Kagey_, May 10 2021
%D A197462 Branko Gruenbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Sections 2.7, 6.2 and 9.4.
%H A197462 Peter Kagey, <a href="/A197462/a197462.pdf">Illustration of a(4) = 9</a>.
%H A197462 Wikipedia, <a href="https://en.wikipedia.org/wiki/Truncated_trihexagonal_tiling#Kisrhombille_tiling">Kisrhombille tiling</a>
%Y A197462 Cf. A197463, A197464.
%Y A197462 Analogous for other tilings: A000105 (square), A000228 (hexagonal), A000577 (triangular), A197156 (prismatic pentagonal), A197159 (floret pentagonal), A197459 (rhombille), A197465 (tetrakis square), A309159 (snub square), A343398 (trihexagonal), A343406 (truncated hexagonal), A343577 (truncated square).
%K A197462 hard,nonn
%O A197462 1,2
%A A197462 _Joseph Myers_, Oct 15 2011
%E A197462 a(20)-a(26) from _Aaron N. Siegel_, Jun 03 2022

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