A202304 a(n) = floor(sqrt(3*n)).

0, 1, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14

Offset: 0

Author

Vincenzo Librandi, Jan 17 2012

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A060018, A172471.

Programs

Magma

[Isqrt(3*n) : n in [0..80]];

Mathematica

Table[Floor[Sqrt[3n]],{n,0,80}]

PARI

a(n)=sqrtint(3*n) \\ Charles R Greathouse IV, Jan 17 2012

Formula

a(n) = A000196(3n), a(n)^2 = A048760(3n). - Bruno Berselli, Jan 18 2012