A238586 Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 10 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=5*floor(n/2), read by rows.

1, 5, 16, 19, 9, 1, 1, 5, 32, 73, 66, 10, 1, 10, 85, 377, 961, 1348, 1080, 472, 111, 12, 1, 1, 10, 142, 1011, 4429, 11370, 17252, 14478, 6094, 1020, 70, 1, 15, 236, 2280, 14203, 56571, 146212, 244063, 261847, 179063, 77974, 21422, 3637, 368, 24, 1

Offset: 2

Author

Christopher Hunt Gribble, Mar 01 2014

Keywords

• tabf
• nonn

Examples

			The first 4 rows of T(n,k) are:
.\k  0     1     2     3     4     5     6     7     8     9    10
n
2    1     5    16    19     9     1
3    1     5    32    73    66    10
4    1    10    85   377   961  1348  1080   472   111    12     1
5    1    10   142  1011  4429 11370 17252 14478  6094  1020    70
		

Links

• Andrew Howroyd, Table of n, a(n) for n = 2..937
• Christopher Hunt Gribble, C++ program

Crossrefs

Cf. A034851, A226048, A102541, A226290, A238009, A228570, A225812, A238189, A238190, A228572, A228022, A231145, A231473, A231568, A232440, A228165, A238550-A238552, A228166, A238555, A238556, A228167, A238557-A238559, A228168, A238581-A238583, A228169, A238592.

Extensions

Terms corrected and crossrefs updated by Christopher Hunt Gribble, Apr 27 2015

Terms a(36) and beyond from Andrew Howroyd, May 29 2017