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A336035
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.
3
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
OFFSET
1,1
COMMENTS
This is conjectured to be a permutation of the positive integers.
LINKS
EXAMPLE
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.
CROSSREFS
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).
Sequence in context: A086884 A284201 A324660 * A334676 A176998 A328752
KEYWORD
base,nonn
AUTHOR
Eric Angelini and Carole Dubois, Jul 05 2020
STATUS
approved