A352386 Lexicographically earliest sequence of distinct positive integers such that the first digit of a(n) + a(n+1) is the n-th digit of the sequence.

1, 9, 81, 2, 8, 12, 68, 32, 168, 432, 368, 3, 17, 83, 517, 283, 117, 183, 18, 13, 47, 33, 4, 6, 64, 16, 14, 36, 65, 5, 15, 66, 234, 766, 235, 465, 535, 265, 35, 67, 19, 82, 218, 182, 518, 2482, 519, 3481, 2519, 3482, 520, 480, 120, 7, 34, 266, 334, 267, 233, 268, 732, 4268, 1732, 4269, 15731, 14269

Offset

1,2

Links

Table of n, a(n) for n=1..66.

Example

a(1) + a(2) =  1 +  9 = 10 and the initial 1 of 10 is the 1st digit of the sequence;
a(2) + a(3) =  9 + 81 = 90 and the initial 9 of 90 is the 2nd digit of the sequence;
a(3) + a(4) = 81 +  2 = 83 and the initial 8 of 83 is the 3rd digit of the sequence;
a(4) + a(5) =  2 +  8 = 10 and the initial 1 of 10 is the 4th digit of the sequence;
a(5) + a(6) =  8 + 12 = 20 and the initial 2 of 20 is the 5th digit of the sequence; etc.

Crossrefs

Cf. A352387.

Sequence in context: A143848 A317052 A363420 * A332702 A117817 A328760

Adjacent sequences: A352383 A352384 A352385 * A352387 A352388 A352389

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Mar 14 2022

Status

approved