id:A102762 - OEIS Search Results

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Curvatures of (largest) kissing circles along the circumference, starting with curvature=-1 and 2.

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-1, 2, 2, 3, 6, 11, 18, 27, 38, 51, 66, 83, 102, 123, 146, 171, 198, 227, 258, 291, 326, 363, 402, 443, 486, 531, 578, 627, 678, 731, 786, 843, 902, 963, 1026, 1091, 1158, 1227, 1298, 1371, 1446, 1523, 1602, 1683, 1766, 1851, 1938, 2027, 2118, 2211, 2306, 2403, 2502, 2603, 2706, 2811, 2918, 3027, 3138, 3251, 3366 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`A059100 has a totally different description but is the same sequence (omitting the first two numbers here)`
	LINKS	`Daniel Bach ("Dan"), Kissing circles.`
	FORMULA	`a(n) = a(1)+a(2)+a(n-1)+2sqrt(a(1)a(2)+a(1)a(n-1)+a(2)a(n-1)) = 1+a(n-1)+2*(sqrt(-2+a(n-1)) (Descartes' curvature-theorem)`
	CROSSREFS	`Cf. A059100, A060790.` `Sequence in context: A054200 A137216 A070550 this_sequence A049853 A064319 A064674` `Adjacent sequences: A102759 A102760 A102761 this_sequence A102763 A102764 A102765`
	KEYWORD	`sign`
	AUTHOR	`Bodo Zinser (BodoZinser(AT)CosmoData.de), Feb 10 2005`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

AT&T Labs Research