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 A276512 a(n) = smallest integer not yet in the sequence with no digits in common with a(n-2); a(0)=0, a(1)=1. 6
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 22, 20, 13, 14, 24, 23, 15, 16, 26, 25, 17, 18, 28, 27, 19, 30, 32, 12, 40, 33, 21, 29, 34, 31, 50, 42, 36, 35, 41, 44, 37, 38, 45, 46, 39, 51, 47, 43, 52, 55, 48, 49, 53, 56, 60, 70, 54, 58, 61, 62, 57, 59, 63, 64, 71, 72, 65, 66, 73, 74, 68, 69, 75 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS This is not a permutation of the nonnegative integers. E.g. 123456789 and 1023456789 (the smallest pandigital number) are not members. a(n) = n for n = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 34, 84, 104, 105, 1449, 2889, 3183, ... LINKS Zak Seidov, Table of n, a(n) for n = 0..5000 MATHEMATICA s={0, 1}; Do[a=s[[-2]]; n=2; While[MemberQ[s, n]||Intersection [IntegerDigits[a], IntegerDigits[n]]≠{}, n++]; AppendTo[s, n], {100}]; s PROG (Python) from itertools import count, islice, product as P def only(s, D=1): # numbers with >= D digits only from s yield from (int("".join(p)) for d in count(D) for p in P(s, repeat=d)) def agen(): # generator of terms aset, an1, an, minan = {0, 1}, 0, 1, 2 yield from [0, 1] while True: an1, an, s = an, minan, set(str(an1)) use = "".join(c for c in "0123456789" if c not in s) for an in only(use, D=len(str(minan))): if an not in aset: break aset.add(an) yield an while minan in aset: minan += 1 print(list(islice(agen(), 75))) # Michael S. Branicky, Jun 30 2022 CROSSREFS Cf. A054659, A067581, A276633, A276766. Sequence in context: A004186 A034704 A362076 * A023792 A221221 A355224 Adjacent sequences: A276509 A276510 A276511 * A276513 A276514 A276515 KEYWORD nonn,base AUTHOR Zak Seidov and Eric Angelini, Sep 06 2016 STATUS approved

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Last modified July 18 13:34 EDT 2024. Contains 374378 sequences. (Running on oeis4.)