A025658 Exponent of 6 (value of j) in n-th number of form 4^i*6^j.
0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 4, 1, 2, 3, 0, 4, 1, 5, 2, 3, 0, 4, 1, 5, 2, 6, 3, 0, 4, 1, 5, 2, 6, 3, 0, 7, 4, 1, 5, 2, 6, 3, 0, 7, 4, 1, 8, 5, 2, 6, 3, 0, 7, 4, 1, 8, 5, 2, 9, 6, 3, 0, 7, 4, 1, 8, 5, 2, 9, 6, 3, 10, 0, 7, 4, 1, 8, 5, 2, 9, 6, 3, 10, 0, 7, 4, 11, 1, 8, 5, 2, 9, 6, 3, 10, 0, 7, 4, 11, 1
Offset: 1
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Mathematica
With[{max = 10^10}, IntegerExponent[Sort[Flatten[Table[4^i*6^j, {i, 0, Log[4, max]}, {j, 0, Log[6, max/4^i]}]]], 6]] (* Amiram Eldar, Jul 09 2025 *)