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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

%I #19 Jul 29 2020 10:27:58

%S 10,11,1,12,13,14,15,16,17,18,19,100,700,800,90,710,110,111,112,113,

%T 101,3,102,30,20,310,114,115,116,117,103,600,311,118,119,1010,1011,

%U 1012,1013,104,312,1014,1000,410,1015,1016,1017,1018,105,711

%N 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.

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

%H Carole Dubois, <a href="/A336035/b336035.txt">Table of n, a(n) for n = 1..5000</a>

%e The leftmost digit of a(2) = 11 is 1; we duplicate this digit in position 1;

%e The leftmost digit of a(3) = 1 is 1; we duplicate this digit in position 3;

%e The leftmost digit of a(4) = 12 is 1; we duplicate this digit in position 4;

%e The leftmost digit of a(5) = 13 is 1; we duplicate this digit in position 6;

%e The leftmost digit of a(6) = 14 is 1; we duplicate this digit in position 8; etc.

%Y 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).

%K base,nonn

%O 1,1

%A _Eric Angelini_ and _Carole Dubois_, Jul 05 2020

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)