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%I A238559 #20 May 29 2017 21:12:47
%S A238559 1,3,1,1,3,2,1,6,4,1,6,6,1,9,17,5,1,1,9,32,18,4,1,12,56,46,13,1,12,84,
%T A238559 90,31,1,15,121,193,98,13,1,1,15,162,360,275,66,6,1,18,212,664,672,
%U A238559 250,31,1,18,266,1080,1408,672,110,1,21,329,1711,2797,1772,432,23,1
%N A238559 Number T(n,k) of equivalence classes of ways of placing k 4 X 4 tiles in an n X 8 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=4, 0<=k<=2*floor(n/4), read by rows.
%H A238559 Andrew Howroyd, <a href="/A238559/b238559.txt">Table of n, a(n) for n = 4..992</a>
%H A238559 Christopher Hunt Gribble, <a href="/A238009/a238009_1.cpp.txt">C++ program</a>
%e A238559 The first 11 rows of T(n,k) are:
%e A238559 .\  k   0      1      2      3      4     5     6
%e A238559 n
%e A238559 4       1      3      1
%e A238559 5       1      3      2
%e A238559 6       1      6      4
%e A238559 7       1      6      6
%e A238559 8       1      9     17      5      1
%e A238559 9       1      9     32     18      4
%e A238559 10      1     12     56     46     13
%e A238559 11      1     12     84     90     31
%e A238559 12      1     15    121    193     98    13     1
%e A238559 13      1     15    162    360    275    66     6
%e A238559 14      1     18    212    664    672   250    31
%o A238559 (C++) See Gribble link.
%Y A238559 Cf. A034851, A226048, A102541, A226290, A238009, A228570, A225812, A238189, A238190, A228572, A228022, A231145, A231473, A231568, A232440, A228165, A238550-A238552, A228166, A238555, A238556, A228167, A238557, A238558, A228168, A238581-A238583, A228169, A238586, A238592.
%K A238559 tabf,nonn
%O A238559 4,2
%A A238559 _Christopher Hunt Gribble_, Feb 28 2014
%E A238559 Terms corrected and xrefs updated by _Christopher Hunt Gribble_, Apr 27 2015
%E A238559 Terms a(31) and beyond from _Andrew Howroyd_, May 29 2017

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