login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A238583
Number T(n,k) of equivalence classes of ways of placing k 4 X 4 tiles in an n X 9 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=4, 0<=k<=2*floor(n/4), read by rows.
21
1, 3, 2, 1, 3, 4, 1, 6, 9, 1, 6, 14, 1, 9, 32, 18, 4, 1, 9, 55, 65, 23, 1, 12, 91, 164, 87, 1, 12, 132, 320, 229, 1, 15, 186, 608, 648, 134, 10, 1, 15, 245, 1043, 1633, 770, 106, 1, 18, 317, 1736, 3659, 2800, 646, 1, 18, 394, 2666, 7247, 7572, 2510
OFFSET
4,2
LINKS
Christopher Hunt Gribble, C++ program
EXAMPLE
The first 8 rows of T(n,k) are:
.\ k 0 1 2 3 4
n
4 1 3 2
5 1 3 4
6 1 6 9
7 1 6 14
8 1 9 32 18 4
9 1 9 55 65 23
10 1 12 91 164 87
11 1 12 132 320 229
PROG
(C++) See program link.
KEYWORD
tabf,nonn
AUTHOR
EXTENSIONS
Terms corrected and xrefs updated by Christopher Hunt Gribble, Apr 27 2015
Terms a(26) and beyond from Andrew Howroyd, May 29 2017
STATUS
approved