The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A172338 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A172338

a(n) = floor(n*(sqrt(5)+sqrt(3))).
(history; published version)

#21 by Charles R Greathouse IV at Thu Sep 08 08:45:50 EDT 2022

PROG

(MAGMAMagma) [Floor(n*Sqrt(5)+Sqrt(3)): n in [0..60] ];

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#20 by Charles R Greathouse IV at Mon Jan 24 18:41:56 EST 2022

STATUS

editing

approved

#19 by Charles R Greathouse IV at Mon Jan 24 18:41:51 EST 2022

LINKS

<a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>

STATUS

approved

editing

#18 by Charles R Greathouse IV at Mon Jan 24 18:36:16 EST 2022

STATUS

editing

approved

#17 by Charles R Greathouse IV at Mon Jan 24 18:36:10 EST 2022

COMMENTS

sqrt(5)+sqrt(3) = 3.96811878506867... is the largest root of x^4 - 16*x^2 + 4.

PROG

(PARI) a(n)=sqrtint(sqrtint(60*n^4)+8*n^2) \\ Charles R Greathouse IV, Jan 24 2022

STATUS

approved

editing

#16 by Alois P. Heinz at Fri Apr 27 18:41:32 EDT 2018

STATUS

editing

approved

#15 by Alois P. Heinz at Fri Apr 27 18:41:18 EDT 2018

NAME

Floora(n) = floor(n*(sqrt(5)+sqrt(3))).

STATUS

approved

editing

#14 by Bruno Berselli at Thu Aug 01 08:01:17 EDT 2013

STATUS

editing

approved

#13 by Bruno Berselli at Thu Aug 01 08:00:58 EDT 2013

COMMENTS

asqrt(5)+sqrt(n3) = integer part of n*3.968118785096811878506867..., where the constant is the largest root of x^4 -16*x^2 +4.

MATHEMATICA

With[{c = Sqrt[5] + Sqrt[3]}, Floor[c Range[0, 60]]] (* Harvey P. Dale, Apr 10 2012 *)

CROSSREFS

Cf. A110117, A172323 - A172332, A172334, A172336, A172337.

STATUS

proposed

editing

#12 by Joerg Arndt at Thu Aug 01 07:02:31 EDT 2013

STATUS

editing

proposed