A152124 - cp's OEIS frontend

A152124 Number of partitions of a 2 x n rectangle into connected pieces consisting of unit squares cut along lattice lines (like a 2-d analog of a partition into integers) in which each piece has rotational symmetry.

n	a(n)
0	1
1	2
2	8
3	36
4	162
5	746
6	3420
7	15738
8	72352
9	332850
10	1530928
11	7042422
12	32394478
13	149015678
14	685471704
15	3153185542
16	14504703924
17	66721946584
18	306922286796
19	1411848979422
20	6494534685710
21	29874996141112
22	137425609255358
23	632160693109496
24	2907952479953454

[1, 2, 8, 36, 162, 746, 3420, 15738, 72352, 332850, 1530928, 7042422, 32394478, 149015678, 685471704, 3153185542, 14504703924, 66721946584, 306922286796, 1411848979422, 6494534685710, 29874996141112, 137425609255358, 632160693109496, 2907952479953454]

cp's OEIS Frontend

A152124 Number of partitions of a 2 x n rectangle into connected pieces consisting of unit squares cut along lattice lines (like a 2-d analog of a partition into integers) in which each piece has rotational symmetry.

Table of values

List of values