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A194152
Beatty sequence for 5+2*sqrt(5); complement of A194151.
2
9, 18, 28, 37, 47, 56, 66, 75, 85, 94, 104, 113, 123, 132, 142, 151, 161, 170, 179, 189, 198, 208, 217, 227, 236, 246, 255, 265, 274, 284, 293, 303, 312, 322, 331, 340, 350, 359, 369, 378, 388, 397, 407, 416, 426, 435, 445, 454, 464, 473, 483, 492, 502
OFFSET
1,1
LINKS
FORMULA
a(n) = 5*n + A022839(2*n). - R. J. Mathar, Aug 25 2011
a(n) = floor(n*(5+2*sqrt(5))). - Vincenzo Librandi, Oct 25 2011
MATHEMATICA
r=Sqrt[5]/2;
c[k_]:=Floor[k*r];
Table[c[k], {k, 1, 90}] (* A194151 *)
s=5+2*Sqrt[5];
d[k_]:=Floor[k*s];
Table[d[k], {k, 1, 90}] (* A194152 *)
PROG
(Magma) [Floor(n*(5+2*Sqrt(5))): n in [1..80]]; // Vincenzo Librandi, Oct 25 2011
(Python)
from sympy import integer_nthroot
def A194152(n): return 5*n+integer_nthroot(20*n**2, 2)[0] # Chai Wah Wu, Mar 16 2021
CROSSREFS
Sequence in context: A071121 A157644 A107223 * A044433 A161570 A140089
KEYWORD
nonn
AUTHOR
Clark Kimberling, Aug 17 2011
STATUS
approved