VOOZH about

URL: https://oeis.org/A025730

⇱ A025730 - OEIS

login
A025730
Index of 8^n within the sequence of the numbers of the form 6^i*8^j.
3
1, 3, 6, 10, 15, 21, 28, 37, 47, 58, 70, 83, 97, 113, 130, 148, 167, 187, 208, 231, 255, 280, 306, 333, 361, 391, 422, 454, 487, 521, 556, 592, 630, 669, 709, 750, 792, 835, 880, 926, 973, 1021, 1070, 1120, 1172, 1225, 1279, 1334, 1390, 1447, 1506, 1566, 1627, 1689
OFFSET
0,2
COMMENTS
Positions of zeros in A025661. - R. J. Mathar, Jul 06 2025
LINKS
FORMULA
From Amiram Eldar, Nov 14 2025: (Start)
A025627(a(n)) = 8^n.
a(n) = 1 + Sum_{k=0..n} ceiling(k * c), where c = log_6(8) (A153754).
a(n) ~ c * n^2 / 2, where c is defined above. (End)
MATHEMATICA
Accumulate[Table[Ceiling[n * Log[6, 8]], {n, 0, 60}]] + 1 (* Amiram Eldar, Nov 14 2025 *)
CROSSREFS
Differs from A025706 at a(56).
Sequence in context: A122056 A358038 A025706 * A384328 A392544 A066353
KEYWORD
nonn,easy
EXTENSIONS
Offset corrected by Amiram Eldar, Nov 14 2025
STATUS
approved