

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
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OFFSET

1,1


COMMENTS

This is conjectured to be a permutation of the positive integers.


LINKS

Carole Dubois, Table of n, a(n) for n = 1..5000


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
Adjacent sequences: A336032 A336033 A336034 * A336036 A336037 A336038


KEYWORD

base,nonn


AUTHOR

Eric Angelini and Carole Dubois, Jul 05 2020


STATUS

approved



