The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A171072 Smallest positive integer a(n) not yet in the sequence and sharing no digit with n or (n+1) in its decimal representation. 2
 3, 1, 2, 6, 4, 5, 9, 7, 8, 22, 30, 40, 20, 23, 24, 25, 26, 27, 33, 34, 35, 10, 11, 13, 14, 15, 16, 17, 18, 28, 44, 19, 12, 21, 29, 41, 42, 45, 51, 32, 36, 50, 52, 31, 37, 38, 39, 53, 61, 43, 46, 47, 60, 62, 48, 49, 63, 64, 71, 54, 55, 57, 58, 70, 72, 59, 90, 73, 81, 56, 65, 66 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Record values: 3, 6, 9, 22, 30, 40, 44, 45, 51, 52, 53, 61, 62, 63, 64, 71, 72, 90, 91, 100, 111, 112, 222, 223, 224, 225, 226, 300, 400, 404, 500, 505, 506, 507, 600, 601, 602, 700, 701, 702, 703, 800, 811, 900, 901, 902, 1000, 1111, 1112, 1113, 1114, 1117, 1121, 2222, 3000, 3003, 3004, 3005, 3333, 3334, 4444, 4445, 4446, 4447, 5000, 5005, 5555, 6000, 6006, 6007, 6008, 6009, 6060, 6066, 6067, 6068, 6069, 6070, 6076, 6111, 7000, 7002, 7007, 7008, 7009, 7010, 7011, 8000, 8001, 8002, 8008, 8010, 8011, 8012, 8111, 9000, 9001, 9002, 10000, 11111, 11112, 11113, 11114, 11115, 20000, 20002, 20003, 20004, 22222, 33333, 33334, 33335, 40000, 40004, 40005, 40006, 40007, 40040, ..., . - Robert G. Wilson v, Sep 25 2010 LINKS Robert G. Wilson v, Table of n, a(n) for n = 1..10000. MATHEMATICA f[s_List] := Block[{k = 1, len = Length@ s}, id = Union@ Flatten[ IntegerDigits /@ {len + 1, len + 2}]; While[ MemberQ[s, k] || Intersection[ id, IntegerDigits@ k] != {}, k++ ]; Append[s, k]]; Nest[f, {}, 72] (* Robert G. Wilson v, Sep 25 2010 *) CROSSREFS Cf. A160015. - Robert G. Wilson v, Sep 25 2010 Sequence in context: A334354 A052417 A130509 * A102035 A055179 A317863 Adjacent sequences:  A171069 A171070 A171071 * A171073 A171074 A171075 KEYWORD nonn,base,fini AUTHOR N. J. A. Sloane, Sep 06 2010, based on an email from Eric Angelini, Jun 30 2010 EXTENSIONS a(25) onwards from Robert G. Wilson v, Sep 25 2010 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 4 09:55 EDT 2021. Contains 346446 sequences. (Running on oeis4.)