A329194 a(n) = floor(log_3(n^2)) = floor(2 log_3(n)).

0, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8

Offset

1,3

Links

Table of n, a(n) for n=1..99.

Formula

2*A062153(n) <= a(n) = floor(log_3(n^2)) = A062153(A000290(n)).

This A329194 = A062153 o A000290.

Mathematica

Table[Floor[Log[3, n^2]], {n, 120}] (* Harvey P. Dale, May 04 2025 *)

Prog

(PARI) apply( A329194(n)=logint(n^2, 3), [1..99])

Crossrefs

Cf. A000290 (n^2), A062153 (log_3), A329202 (log_2(n^2)), A329193 (log_2(n^3)).

Sequence in context: A361928 A300013 A130535 * A375499 A210533 A246435

Adjacent sequences: A329191 A329192 A329193 * A329195 A329196 A329197

Keyword

nonn

Author

M. F. Hasler, Nov 07 2019

Status

approved