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A164086 Beatty sequence for 4*Pi/3 = 4.1887902... . 5
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; text; 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
Eric Weisstein's World of Mathematics, Beatty Sequence
FORMULA
a(n) = floor(4*n*Pi/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]] (* Harvey P. Dale, Mar 19 2011 *)
PROG
(Maxima)
fprec:100$
A164086:4*%pi/3$
ev(bfloat(A164086)); /* Martin Ettl, Nov 03 2012 */
CROSSREFS
Sequence in context: A311184 A311185 A311186 * A109238 A311187 A311188
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Aug 11 2009
STATUS
approved

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)