A363832 -id:A363832 - cp's OEIS frontend

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

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

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

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

Cf. A001113 (e digits).
Cf. A105424 (base phi), A344939 (base Pi).
Cf. A363832 (number of digits).

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

A366721 Number of digits left of the radix point of n when written in base Pi using a greedy algorithm representation.

Original entry on oeis.org

1, 1, 1, 1, 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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5

Offset: 0

Paolo Xausa, Oct 17 2023

More than the usual number of terms are shown to distinguish this sequence from A185679.

			a(10) = 3 because 10 in base Pi (100.01022...) has 3 digits before the radix point.

Paolo Xausa, Table of n, a(n) for n = 0..10000
Wikipedia, Non-integer base of numeration.

Cf. A000796, A055642, A185679, A344939, A362692, A363832.

A366721[n_]:=Floor[Log[Pi,Max[n,1]]]+1;Array[A366721,200,0]

a(0) = 1; for n >= 1, a(n) = floor(log_Pi(n)) + 1.

cp's OEIS Frontend

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

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