id:A077591 - OEIS Search Results

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Maximum number of regions the plane can be divided into using n (concave) quadrilaterals.

+0
3

1, 2, 18, 50, 98, 162, 242, 338, 450, 578, 722, 882, 1058, 1250, 1458, 1682, 1922, 2178, 2450, 2738, 3042, 3362, 3698, 4050, 4418, 4802, 5202, 5618, 6050, 6498, 6962, 7442, 7938, 8450, 8978, 9522, 10082, 10658, 11250, 11858, 12482, 13122, 13778 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n) = 8n^2 - 8n + 2 except when n = 0.`
	EXAMPLE	`a(2) = 18 if you draw two concave quadrilaterals such that all four sides of one cross all four sides of the other.`
	CROSSREFS	`Cf. A077588.` `Adjacent sequences: A077588 A077589 A077590 this_sequence A077592 A077593 A077594` `Sequence in context: A139268 A052681 A048910 this_sequence A050808 A058653 A058794`
	KEYWORD	`easy,nonn`
	AUTHOR	`Joshua Zucker and the Castilleja School MathCounts club (joshua.zucker(AT)stanfordalumni.org), Nov 07 2002`

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.

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