Counting polyominoes and Klarner's constant

Count the polyominoes with n cells, known exactly up to n = 70, and pin down Klarner's growth constant, now between 4.0025 and 4.5252.

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1	{
2	"domain": "computer-science",
3	"topics": [
4	"computational-geometry",
5	"combinatorics"
6	],
7	"type": "algorithm",
8	"also": [
9	"proof"
10	],
11	"source": {
12	"key": "topp",
13	"name": "The Open Problems Project",
14	"url": "https://topp.openproblem.net/p37",
15	"id": "37",
16	"curator": "Erik D. Demaine, Joseph S. B. Mitchell and Joseph O'Rourke",
17	"status": "open",
18	"as_of": "2026-10-20",
19	"catalog": "0521c19bbd38"
20	}
21	}