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 A107353 a(0)=0, a(n) = smallest integer not previously used which contains a digit from a(n-1). 25
 0, 10, 1, 11, 12, 2, 20, 21, 13, 3, 23, 22, 24, 4, 14, 15, 5, 25, 26, 6, 16, 17, 7, 27, 28, 8, 18, 19, 9, 29, 32, 30, 31, 33, 34, 35, 36, 37, 38, 39, 43, 40, 41, 42, 44, 45, 46, 47, 48, 49, 54, 50, 51, 52, 53, 55, 56, 57, 58, 59, 65, 60, 61, 62, 63, 64, 66, 67, 68, 69, 76, 70 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA For n > 28, and 2 <= j <= 10, a(j*10^k) = j*10^k + (j-1). EXAMPLE [10] is the smallest available integer having a "0". [1] is the smallest available integer having a "1" or a "0". [11] is the smallest integer having a 1, etc. When restricted to {0..9999} this sequence is a permutation with the following cycle representation: (1, 10, 23, 27, 19, 6, 20, 16, 5, 2) (3, 11, 22, 7, 21, 17, 25, 8, 13, 4, 12, 24, 28, 9) (18, 26) (30, 32, 31) (40, 43, 42, 41) (50, 54, 53, 52, 51) (60, 65, 64, 63, 62, 61) (70, 76, 75, 74, 73, 72, 71) (80, 87, 86, 85, 84, 83, 82, 81) (100, 109, 108, 107, 106, 105, 104, 103, 102, 101) (200, 201) (300, 302, 301) (400, 403, 402, 401) (500, 504, 503, 502, 501) (600, 605, 604, 603, 602, 601) (700, 706, 705, 704, 703, 702, 701) (800, 807, 806, 805, 804, 803, 802, 801) (1000, 1009, 1008, 1007, 1006, 1005, 1004, 1003, 1002, 1001) (2000, 2001) (3000, 3002, 3001) (4000, 4003, 4002, 4001) (5000, 5004, 5003, 5002, 5001) (6000, 6005, 6004, 6003, 6002, 6001) (7000, 7006, 7005, 7004, 7003, 7002, 7001) (8000, 8007, 8006, 8005, 8004, 8003, 8002, 8001) - Jason Kimberley, Dec 22 2011 MATHEMATICA f[l_] := Block[{c = 0}, While[ MemberQ[l, c] || Intersection @@ IntegerDigits /@ {Last[l], c} == {}, c++ ]; Return[Append[l, c]] ]; Nest[f, {0}, 71] (* Ray Chandler, May 23 2005 *) CROSSREFS Sequence in context: A107408 A129888 A239113 * A172171 A164899 A164844 Adjacent sequences:  A107350 A107351 A107352 * A107354 A107355 A107356 KEYWORD base,easy,nonn AUTHOR Eric Angelini, May 21 2005 EXTENSIONS Extended by Ray Chandler, May 23 2005 STATUS approved

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