id:A074454 - OEIS Search Results

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Consider volume of unit sphere as a function of the dimension d; maximize this as a function of d (considered as a continuous variable); sequence gives decimal expansion of the resulting volume.

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

	OFFSET	`1,1`
	COMMENT	`If you set v[n_] := Pi^(n/2)/(n/2)! and s[n_] := n*Pi^(n/2)/(n/2)! and then Plot[{6.283v[n - 2], s[n]}, {n, 0, 20}], the two curves are almost identical.`
	EXAMPLE	`5.277768021113400997282145864172846387529999284510173567761637340214864\` `12730547017110062048407258401284645...`
	CROSSREFS	`The dimension is given in A074455. Cf. A072345 & A072346.` `Sequence in context: A084340 A065925 A080350 this_sequence A155790 A128666 A013674` `Adjacent sequences: A074451 A074452 A074453 this_sequence A074455 A074456 A074457`
	KEYWORD	`cons,nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 22 2002`
	EXTENSIONS	`Checked by Martin Fuller, Jul 12 2007`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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