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 A336068 Numbers k such that the exponent of the highest power of 3 dividing k (A007949) is a divisor of k. 3
 3, 6, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 48, 51, 54, 57, 60, 66, 69, 72, 75, 78, 84, 87, 90, 93, 96, 102, 105, 108, 111, 114, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 150, 156, 159, 165, 168, 174, 177, 180, 183, 186, 189, 192, 195, 198, 201, 204 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS All the terms are divisible by 3 by definition. Šalát (1994) proved that the asymptotic density of this sequence is 0.287106... (A336069). LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 Tibor Šalát, On the function a_p, p^a_p(n) || n (n > 1), Mathematica Slovaca, Vol. 44, No. 2 (1994), pp. 143-151. EXAMPLE 3 is a term since A007949(3) = 1 is a divisor of 3. MATHEMATICA Select[Range[200], Mod[#, 3] == 0 && Divisible[#, IntegerExponent[#, 3]] &] PROG (PARI) isok(m) = if (!(m%3), (m % valuation(m, 3)) == 0); \\ Michel Marcus, Jul 08 2020 CROSSREFS A055777 is a subsequence. Cf. A007949, A336069. Similar sequences: A033950, A005349, A006446, A074946, A075592, A007694, A112249, A336066. Sequence in context: A067759 A331068 A310122 * A319451 A256882 A191267 Adjacent sequences: A336065 A336066 A336067 * A336069 A336070 A336071 KEYWORD nonn AUTHOR Amiram Eldar, Jul 07 2020 STATUS approved

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Last modified November 29 20:12 EST 2023. Contains 367447 sequences. (Running on oeis4.)