id:A101418 - OEIS Search Results

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Floor of the area of a lens constructed using circular arcs of radius n.

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1, 4, 11, 19, 30, 44, 60, 78, 99, 122, 148, 176, 207, 240, 276, 314, 354, 397, 443, 491, 541, 594, 649, 707, 767, 830, 895, 963, 1033, 1105, 1180, 1257, 1337, 1419, 1504, 1591, 1681, 1773, 1868, 1965, 2064, 2166, 2271, 2378, 2487, 2599, 2713, 2830, 2949 (list; graph; listen)

	OFFSET	`1,2`
	LINKS	`Eric Weisstein's World of Mathematics, "Lens."`
	FORMULA	`a(n) = Floor[(4Pi - 3Sqrt[3])/6*n^2]`
	EXAMPLE	`a(2) = 4 because a lens given by the intersection of two circles of radius two has an area of approximately 4.91347...`
	MATHEMATICA	`Table[Floor[(4Pi - 3Sqrt[3])/6*r^2], {r, 1, 60}]`
	CROSSREFS	`Cf. A093731.` `Sequence in context: A063215 A162996 A037262 this_sequence A009874 A008051 A038424` `Adjacent sequences: A101415 A101416 A101417 this_sequence A101419 A101420 A101421`
	KEYWORD	`nonn`
	AUTHOR	`Joseph Biberstine (jrbibers(AT)indiana.edu), Jan 16 2005`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

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