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A336035
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The leftmost digit d of a(n) jumps over d positions to the left and gets duplicated there. Lexicographically earliest sequence of distinct positive integers with this property and a(1) = 10.
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3
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10, 11, 1, 12, 13, 14, 15, 16, 17, 18, 19, 100, 700, 800, 90, 710, 110, 111, 112, 113, 101, 3, 102, 30, 20, 310, 114, 115, 116, 117, 103, 600, 311, 118, 119, 1010, 1011, 1012, 1013, 104, 312, 1014, 1000, 410, 1015, 1016, 1017, 1018, 105, 711
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OFFSET
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1,1
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COMMENTS
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This is conjectured to be a permutation of the positive integers.
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LINKS
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EXAMPLE
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The leftmost digit of a(2) = 11 is 1; we duplicate this digit in position 1;
The leftmost digit of a(3) = 1 is 1; we duplicate this digit in position 3;
The leftmost digit of a(4) = 12 is 1; we duplicate this digit in position 4;
The leftmost digit of a(5) = 13 is 1; we duplicate this digit in position 6;
The leftmost digit of a(6) = 14 is 1; we duplicate this digit in position 8; etc.
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CROSSREFS
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Cf. A336034 (duplication of the rightmost digit of a(n) to the right), A336036 (first and last digits of a(n) are duplicated respectively to the left and to the right).
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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