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

0,3

Links

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

Example

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

Mathematica

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

Crossrefs

Cf. A001113 (e digits).

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

Cf. A363832 (number of digits).

Sequence in context: A256437 A136810 A136821 * A136819 A136816 A188264

Adjacent sequences: A105113 A105114 A105115 * A105117 A105118 A105119

Keyword

nonn,base

Author

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

Status

approved