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 A236673 Exponents of powers of 3 that contain all ten decimal digits. 5
 39, 45, 47, 48, 53, 57, 60, 61, 62, 63, 64, 65, 67, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 82, 83, 85, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 102, 103, 105, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS It is conjectured that after a(43), a(n) = n + 63 (i.e., natural numbers beginning with 107). Complement of A236674. LINKS Seiichi Manyama, Table of n, a(n) for n = 1..10000 EXAMPLE 3^53 = 19383245667680019896796723, which contains two 1's, two 2's, three 3's, one 4, one 5, five 6's, three 7's, three 8's, four 9's and two 0's, so 53 is in the sequence. 3^57 = 1570042899082081611640534563, which contains four 1's, two 2's, two 3's, three 4's, three 5's, three 6's, one 7, three 8's, two 9's and five 0's. 58 is not in the sequence because there are no 5's in 3^58 = 4710128697246244834921603689. MATHEMATICA Select[Range[0, 200], Union[IntegerDigits[3^#]] == Range[0, 9] &] (* T. D. Noe, Jan 29 2014 *) PROG (Python) def PanDig(x): ..a = '1234567890' ..for n in range(10**3): ....count = 0 ....for i in a: ......if str(x**n).count(i) > 0: ........count += 1 ......else: ........break ....if count == len(a): ......print(n) CROSSREFS Cf. A130694, A236674. Sequence in context: A261374 A309696 A061756 * A119028 A252712 A252711 Adjacent sequences: A236670 A236671 A236672 * A236674 A236675 A236676 KEYWORD nonn,base AUTHOR Derek Orr, Jan 29 2014 STATUS approved

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Last modified August 13 20:02 EDT 2024. Contains 375144 sequences. (Running on oeis4.)