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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File it in the catalog (shoal-catalog 0521c19bbd38)

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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	+}