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A336036
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The leftmost digit L of a(n) jumps over L+1 digits to the left and is duplicated there; the rightmost digit R of a(n) jumps over R digits to the right and is duplicated there. Lexicographically earliest sequence of distinct positive integers with this property and a(1) = 11.
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3
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11, 1, 111, 112, 12, 21, 2, 13, 201, 3, 14, 1301, 4, 15, 16, 401, 5, 17, 601, 512, 172, 51, 211, 113, 18, 1311, 114, 1801, 411, 115, 19, 101, 511, 116, 911, 117, 611, 118, 1711, 119, 1811, 1112, 19201, 212, 22, 23, 202, 31, 213, 102, 32, 24, 203, 241, 311, 412, 1221, 214, 204, 242, 24201, 215, 205, 25, 501
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OFFSET
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1,1
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COMMENTS
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No term ends in 0 as this would force the next integer to start with zero.
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LINKS
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EXAMPLE
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The sequence starts with 11, 1, 111, 112, 12, 21, 2, 13, 201, 3,...
We don't duplicate to the left the leftmost digit of a(1) = 11 as there is no room.
The rightmost digit of a(1) = 11 is 1; we duplicate this digit in position 4;
The leftmost digit of a(2) = 1 is 1; we duplicate this digit in position 1;
The rightmost digit of a(2) = 1 is 1; we duplicate this digit in position 5;
The leftmost digit of a(3) = 111 is 1; we duplicate this digit in position 2;
The rightmost digit of a(3) = 111 is 1; we duplicate this digit in position 8;
The leftmost digit of a(4) = 112 is 1; we duplicate this digit in position 5;
The rightmost digit of a(4) = 112 is 2; we duplicate this digit in position 12;
The leftmost digit of a(5) = 12 is 1; we duplicate this digit in position 8;
The rightmost digit of a(5) = 12 is 2; we duplicate this digit in position 14;
The leftmost digit of a(6) = 21 is 2; we duplicate this digit in position 9; etc.
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CROSSREFS
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Cf. A336034 (duplication of the rightmost digit of a(n) to the right), A336035 (duplication of the leftmost digit of a(n) to the left).
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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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