A105116 The part of n left of the decimal point when written in base e using a greedy algorithm representation.

0, 1, 2, 10, 11, 12, 20, 21, 100, 101, 102, 110, 111, 120, 121, 200, 201, 202, 210, 211, 212, 1000, 1001, 1010, 1011, 1012, 1020, 1021, 1100, 1101, 1102, 1110, 1111, 1120, 1121, 1200, 1201, 1202, 1210, 1211, 1212, 2000, 2001, 2010, 2011, 2012, 2020

Offset: 0

Author

Bryan Jacobs (bryanjj(AT)gmail.com), Apr 08 2005

Keywords

• nonn
• base

Examples

			3 in base e = 10.020... so a(3) = 10.
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A001113 (e digits).

Cf. A105424 (base phi), A344939 (base Pi).

Cf. A363832 (number of digits).

Programs

Mathematica

A105116[n_]:=FromDigits[First[RealDigits[n,E,Floor[Log[E,Max[n,1]]]+1]]];
Array[A105116,100,0] (* Paolo Xausa, Oct 18 2023 *)