A194964 a(n) = 1 + floor(n/sqrt(5)).

1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 26, 27, 27, 28, 28, 29, 29, 30, 30, 30, 31, 31, 32, 32, 33, 33

Offset: 1

Author

Clark Kimberling, Sep 07 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A194983, A194984, A194985.

Programs

Magma

[1+Floor(n/Sqrt(5)): n in [1..80] ]; // Vincenzo Librandi, Sep 10 2011

Mathematica

p[n_] := 1 + Floor[n/Sqrt[5]]
Table[p[n], {n, 1, 90}]  (* A194964 *)

PARI

a(n)=sqrtint(n^2\5)+1 \\ Charles R Greathouse IV, Sep 02 2015