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 A084434 Numbers whose digit permutations have GCD > 1. 0
 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 18, 20, 21, 22, 24, 26, 27, 28, 30, 33, 36, 39, 40, 42, 44, 45, 46, 48, 50, 51, 54, 55, 57, 60, 62, 63, 64, 66, 68, 69, 70, 72, 75, 77, 78, 80, 81, 82, 84, 86, 87, 88, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Initially (up to two-digit numbers) members match with those of A071249. The following are members of this sequence. (1) Numbers made of even digits (GCD >= 2). (2) Numbers with sum of digits a multiple of 3 (GCD >= 3). (3) Numbers using only one digit (k*repunit, k = 1 to 9, GCD = the number itself). It is conjectured that there are no other members. The sequence consists of (1) A008585 (multiples of 3), (2) A014263 (numbers with all digits even), (3) A014181 (numbers with all digits equal), (4) numbers with all digits 5 or 0, (5) numbers with all digits 7 or 0, (6) numbers with 6k digits, all of which are 1 or 8 and (7) numbers with 6k digits, all of which are 2 or 9. - David Wasserman, May 07 2004 LINKS EXAMPLE 72 is in the sequence because 72 and 27 are both divisible by 9. MATHEMATICA Select[Range[0, 150], GCD @@ FromDigits /@ Permutations[IntegerDigits[#]] > 1 &]  (* Harvey P. Dale, Jan 12 2011 *) CROSSREFS Cf. A071249, A084433. Sequence in context: A154771 A071249 A084433 * A034709 A178158 A034838 Adjacent sequences:  A084431 A084432 A084433 * A084435 A084436 A084437 KEYWORD base,nonn AUTHOR Amarnath Murthy, Jun 02 2003 EXTENSIONS More terms from David Wasserman, May 07 2004 Initial zero removed, Harvey P. Dale, Jan 14 2011 STATUS approved

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Last modified October 17 15:27 EDT 2019. Contains 328116 sequences. (Running on oeis4.)