id:A051762 - OEIS Search Results

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Polygon circumscribing constant; decimal expansion of Product_{n=3..infinity} 1/Cosine(Pi/n).

+0
3

8, 7, 0, 0, 0, 3, 6, 6, 2, 5, 2, 0, 8, 1, 9, 4, 5, 0, 3, 2, 2, 2, 4, 0, 9, 8, 5, 9, 1, 1, 3, 0, 0, 4, 9, 7, 1, 1, 9, 3, 2, 9, 7, 9, 4, 9, 7, 4, 2, 8, 9, 2, 0, 9, 2, 1, 5, 9, 6, 6, 7, 2, 7, 8, 6, 8, 3, 4, 2, 9, 9, 6, 4, 1, 1, 4, 0, 2, 5, 1, 5, 9, 1, 1, 8, 5, 4, 4, 4, 1, 4, 0, 0, 9, 2, 4, 9, 5, 2, 8, 5, 5 (list; cons; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The geometric interpretation is as follows. Begin with a unit circle. Circumscribe an equilateral triangle and then circumscribe a circle. Circumscribe a square and then circumscribe a circle. Circumscribe a regular pentagon and then circumscribe a circle, etc.` `Circles have radius which converges to this value.`
	LINKS	`Eric Weisstein's World of Mathematics, Polygon Circumscribing`
	EXAMPLE	`8.70003662520...`
	MATHEMATICA	`RealDigits[ N[ Product[ 1 / Cos[Pi/n], {n, 3, Infinity}], 75]] [[1]]`
	CROSSREFS	`Cf. A085365.` `Sequence in context: A058088 A112145 A038284 this_sequence A155094 A154401 A019814` `Adjacent sequences: A051759 A051760 A051761 this_sequence A051763 A051764 A051765`
	KEYWORD	`nonn,cons`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 23 2000`
	EXTENSIONS	`More terms from Eric Weisstein (eric(AT)weisstein.com), Jun 25, 2003`

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Last modified December 16 13:01 EST 2009. Contains 170825 sequences.

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