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A238592 Number T(n,k) of equivalence classes of ways of placing k 3 X 3 tiles in an n X 10 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=3, 0<=k<=3*floor(n/3), read by rows. 21
1, 4, 9, 2, 1, 4, 18, 8, 1, 8, 42, 28, 1, 8, 77, 165, 151, 44, 6, 1, 12, 133, 521, 891, 543, 106, 1, 12, 200, 1160, 3022, 2756, 824, 1, 16, 288, 2260, 8443, 13336, 9364, 2819, 387, 20, 1, 16, 387, 3867, 19833, 48418, 58731, 34797, 9462, 900 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,2

LINKS

Andrew Howroyd, Table of n, a(n) for n = 3..989

Christopher Hunt Gribble, C++ program

EXAMPLE

The first 6 rows of T(n,k) are:

.\ k 0 1 2 3 4 5 6

n

3 1 4 9 2

4 1 4 18 8

5 1 8 42 28

6 1 8 77 165 151 44 6

7 1 12 133 521 891 543 106

8 1 12 200 1160 3022 2756 824

PROG

(C++) See Gribble link.

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, A238586.

Sequence in context: A032760 A129970 A006830 * A229553 A254061 A098174

Adjacent sequences: A238589 A238590 A238591 * A238593 A238594 A238595

KEYWORD

tabf,nonn

AUTHOR

Christopher Hunt Gribble, Mar 01 2014

EXTENSIONS

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

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

STATUS

approved

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Last modified January 29 11:06 EST 2023. Contains 359922 sequences. (Running on oeis4.)