A164086 - OEIS

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A164086

Beatty sequence for 4*pi/3 = 4.1887902... .

4, 8, 12, 16, 20, 25, 29, 33, 37, 41, 46, 50, 54, 58, 62, 67, 71, 75, 79, 83, 87, 92, 96, 100, 104, 108, 113, 117, 121, 125, 129, 134, 138, 142, 146, 150, 154, 159, 163, 167, 171, 175, 180, 184, 188, 192, 196, 201, 205, 209, 213, 217, 222, 226, 230, 234, 238, 242 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`a(n) = A109238(n) for n <= 20;` `complement of A164087;` `a(n) = A164088(A164087(n)) and A164088(a(n)) = A164087(n);` `a(A000578(n)) = A066645(n).`
	LINKS	`Index entries for sequences related to Beatty sequences` `Eric Weisstein's World of Mathematics, Beatty Sequence`
	FORMULA	`a(n) = floor(4npi/3).`
	EXAMPLE	`a(3^3) = a(27) = 113 = (integer part of volume of sphere with radius=3) = A066645(3).`
	MATHEMATICA	`With[{c=4 \[Pi]/3}, Floor[c #]&/@Range[70]] (* From Harvey P. Dale, Mar 19 2011 *)`
	CROSSREFS	`A022844, A019699.` `Sequence in context: A059532 A187385 A034045 * A109238 A102861 A198272` `Adjacent sequences: A164083 A164084 A164085 * A164087 A164088 A164089`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 11 2009`

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Last modified February 14 01:35 EST 2012. Contains 205567 sequences.