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A086414 Minimal exponent in prime factorization of 3-smooth numbers. 5
0, 1, 1, 2, 1, 3, 2, 1, 4, 1, 1, 3, 5, 2, 1, 1, 6, 2, 4, 1, 2, 7, 2, 1, 1, 3, 5, 8, 2, 2, 1, 3, 1, 9, 2, 3, 6, 1, 3, 2, 10, 2, 4, 1, 1, 3, 3, 11, 7, 2, 4, 2, 1, 3, 4, 12, 1, 2, 4, 3, 1, 8, 3, 5, 13, 2, 2, 4, 4, 1, 1, 3, 5, 14, 3, 2, 9, 4, 5, 1, 2, 3, 5, 15, 4, 2, 1, 4, 6, 1, 3, 3, 10, 5, 16, 5, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A051904(A003586(n));

a(n) <= A086415(n) <= A069352(n).

MATHEMATICA

s = {}; m = 12; Do[n = 3^k; While[n <= 3^m, AppendTo[s, n]; n*=2], {k, 0, m}]; maxExp[1] = 0; maxExp[n_] := Min @@ Last /@ FactorInteger[n]; maxExp /@ Union[s] (* Amiram Eldar, Jan 29 2020 *)

CROSSREFS

Cf. A003586, A051904, A069352, A086415.

Sequence in context: A329515 A169742 A257077 * A098896 A108371 A138530

Adjacent sequences:  A086411 A086412 A086413 * A086415 A086416 A086417

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jul 18 2003

STATUS

approved

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Last modified September 29 06:49 EDT 2022. Contains 357082 sequences. (Running on oeis4.)