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

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

Author

Paolo Xausa, Oct 17 2023

Keywords

• nonn
• base

Comments

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

Examples

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

Links

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

Crossrefs

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

Programs

Mathematica

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

Formula

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