A000193 Nearest integer to log n.

0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• T. D. Noe, Table of n, a(n) for n=1..10000

Crossrefs

Cf. A000195, A004233.

Programs

Haskell

a000193 = round . log . fromIntegral  -- Reinhard Zumkeller, Mar 17 2015

Maple

Digits := 100; f := n->round(evalf(log(n))); [ seq(f(n), n=1..100) ];

Mathematica

Round[Log[Range[100]]] (* Paolo Xausa, Jun 28 2024 *)

PARI

a(n)=round(log(n))