A022927 - OEIS

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A022927

Number of integers m such that 5^n < 3^m < 5^(n+1).

1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2

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OFFSET

0,3

LINKS

Amiram Eldar, Table of n, a(n) for n = 0..10000

FORMULA

Asymptotic mean: lim_{m->oo} (1/m) * Sum_{k=1..m} a(k) = log_3(5) (A113209). - Amiram Eldar, Mar 01 2024

EXAMPLE

From Amiram Eldar, Mar 01 2024: (Start)

a(0) = 1 because 5^0 = 1 < 3^1 = 3 < 5^1 = 5.

a(1) = 1 because 5^1 = 5 < 3^2 = 9 < 5^2 = 25.

a(2) = 2 because 5^2 = 25 < 3^3 = 27 < 3^4 = 81 < 5^3 = 125. (End)