A172337 -id:A172337 - cp's OEIS frontend

A172336 a(n) = floor(n*(sqrt(13)+sqrt(2))).

0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 256, 261, 266, 271, 276

Offset: 0

Vincenzo Librandi, Feb 01 2010

a(n) = integer part of n*(sqrt(13)+sqrt(2)), where the constant is the largest root of x^4 -30*x^2 +121.

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Cf. A110117, A172323-A172332, A172334, A172337, A172338.

[Floor(n*(Sqrt(13)+Sqrt(2))): n in [0..60]];

With[{c = Sqrt[13] + Sqrt[2]}, Floor[c Range[0, 70]]] (* Vincenzo Librandi, Aug 01 2013 *)

for(n=0,50, print1(floor(n*(sqrt(13)+sqrt(2))), ", ")) \\ G. C. Greubel, Jul 05 2017

A172338 a(n) = floor(n*(sqrt(5)+sqrt(3))).

Original entry on oeis.org

0, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 111, 115, 119, 123, 126, 130, 134, 138, 142, 146, 150, 154, 158, 162, 166, 170, 174, 178, 182, 186, 190, 194, 198, 202, 206, 210, 214, 218

Offset: 0

Vincenzo Librandi, Feb 01 2010

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

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for sequences related to Beatty sequences

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

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

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

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

cp's OEIS Frontend

A172336 a(n) = floor(n*(sqrt(13)+sqrt(2))).

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