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 A334929 Positive integers k such that there exists a positive integer m consisting of k identical digits and such that m is a multiple of k. 0
 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15, 18, 21, 22, 24, 27, 36, 42, 44, 45, 54, 63, 66, 72, 78, 81, 84, 88, 108, 111, 126, 132, 135, 156, 162, 168, 189, 198, 205, 216, 222, 234, 242, 243, 252, 264, 294, 312, 324, 333, 342, 378, 396, 404, 405, 444, 462, 465, 468, 484, 486 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS For k=3^t, t>=1 you can always find numbers m. LINKS Table of n, a(n) for n=1..61. EXAMPLE 12 is a term since 444444444444 = 12*37037037037. MATHEMATICA ok[n_] := AnyTrue[(10^n - 1)/9 Range@9, Mod[#, n] == 0 &]; Select[ Range[486], ok] (* Giovanni Resta, May 24 2020 *) PROG (Python) t = "1" list = [1] for i in range(1, 1000): t = "1" + t m = int(t) weiter = 0 for k in range(1, 10): if k * m % (i + 1) == 0: weiter = 1 if weiter == 1: list.append(i + 1) print(list) CROSSREFS Cf. A014950. Sequence in context: A107743 A116066 A261874 * A008816 A002271 A048381 Adjacent sequences: A334926 A334927 A334928 * A334930 A334931 A334932 KEYWORD nonn,base AUTHOR Reiner Moewald, May 16 2020 STATUS approved

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Last modified September 16 23:59 EDT 2024. Contains 375984 sequences. (Running on oeis4.)