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Search: id:A164086
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A164086 Beatty sequence for 4*pi/3 = 4.1887902... . +0
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; listen)
OFFSET

1,1

COMMENT

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(4*n*pi/3).

EXAMPLE

a(3^3) = a(27) = 113 = (integer part of volume of sphere with radius=3) = A066645(3).

CROSSREFS

A022844, A019699.

Sequence in context: A085127 A059532 A034045 this_sequence A109238 A102861 A004976

Adjacent sequences: A164083 A164084 A164085 this_sequence A164087 A164088 A164089

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 11 2009

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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