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A368131 revision #63

A368131

Highest k with 3^(n+k) <= 4^n * 2^k.

0, 0, 1, 2, 2, 3, 4, 4, 5, 6, 7, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 14, 15, 16, 17, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 24, 25, 26, 26, 27, 28, 29, 29, 30, 31, 31, 32, 33, 34, 34, 35, 36, 36, 37, 38, 39, 39, 40, 41, 41, 42, 43, 43, 44, 45, 46, 46, 47, 48

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OFFSET

0,4

LINKS

Table of n, a(n) for n=0..68.

FORMULA

a(n) = floor(n * log(4/3) / log(3/2)).

a(n) = floor(n * log(3) / log(3/2)) - 2*n.

a(n) = floor(n * arctanh(1/7) / arctanh(1/5)).

A054414(n) = a(n) + 2*n + 1.

A117630(n) = a(n) + 2*n.

A325913(n) = a(n) + n.