login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A330144 Beatty sequence for (5/2)^x, where (3/2)^x + (5/2)^x = 1. 3
2, 5, 8, 11, 13, 16, 19, 22, 24, 27, 30, 33, 35, 38, 41, 44, 46, 49, 52, 55, 57, 60, 63, 66, 69, 71, 74, 77, 80, 82, 85, 88, 91, 93, 96, 99, 102, 104, 107, 110, 113, 115, 118, 121, 124, 127, 129, 132, 135, 138, 140, 143, 146, 149, 151, 154, 157, 160, 162 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Let x be the solution of (2/3)^x + (2/5)^x = 1. Then (floor(n*(3/2)^x)) and (floor(n*(5/2)^x)) are a pair of Beatty sequences; i.e., every positive integer is in exactly one of the sequences. See the Guide to related sequences at A329825.
LINKS
Eric Weisstein's World of Mathematics, Beatty Sequence.
FORMULA
a(n) = floor(n (5/2)^x)), where x = 1.108702608375893... is the constant in A330142.
MATHEMATICA
r = x /.FindRoot[(2/3)^x + (2/5)^x == 1, {x, 1, 2}, WorkingPrecision -> 200]
RealDigits[r] (* A330142 *)
Table[Floor[n*(3/2)^r], {n, 1, 250}] (* A330143 *)
Table[Floor[n*(5/2)^r], {n, 1, 250}] (* A330144 *)
CROSSREFS
Cf. A329825, A330142, A330143 (complement).
Sequence in context: A007826 A108589 A292988 * A187341 A329924 A330112
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jan 04 2020
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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