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A276512
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a(n) = smallest integer not yet in the sequence with no digits in common with a(n-2); a(0)=0, a(1)=1.
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5
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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
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OFFSET
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0,3
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COMMENTS
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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, ...
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LINKS
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Zak Seidov, Table of n, a(n) for n = 0..5000
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MATHEMATICA
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s={0, 1}; Do[a=s[[-2]]; n=2; While[MemberQ[s, n]||Intersection [IntegerDigits[a], IntegerDigits[n]]≠{}, n++]; AppendTo[s, n], {100}]; s
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CROSSREFS
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Cf. A054659, A067581, A276633, A276766.
Sequence in context: A068637 A004186 A034704 * A023792 A221221 A178354
Adjacent sequences: A276509 A276510 A276511 * A276513 A276514 A276515
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KEYWORD
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nonn,base
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AUTHOR
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Zak Seidov and Eric Angelini, Sep 06 2016
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STATUS
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approved
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