A352390 Lexicographically earliest sequence of distinct positive integers such that the last digit of a(n) + a(n+1) is the n-th digit of the sequence.

1, 10, 11, 9, 2, 19, 20, 12, 29, 30, 22, 8, 3, 39, 13, 6, 7, 23, 49, 33, 5, 18, 15, 4, 17, 16, 40, 27, 25, 28, 26, 43, 50, 53, 32, 59, 69, 42, 63, 21, 60, 37, 14, 52, 62, 38, 24, 73, 79, 36, 46, 72, 70, 56, 48, 35, 80, 90, 45, 58, 55, 47, 68, 31, 65, 34, 100, 82, 44, 89, 83, 78, 88, 92, 41, 66, 75, 99

Offset

1,2

Links

Table of n, a(n) for n=1..78.

Example

a(1) + a(2) = 1 + 10 = 11 and the terminal 1 of 11 is the 1st digit of the sequence;
a(2) + a(3) = 10 + 11 = 21 and the terminal 1 of 21 is the 2nd digit of the sequence;
a(3) + a(4) = 11 + 9 = 20 and the terminal 0 of 20 is the 3rd digit of the sequence;
a(4) + a(5) = 9 + 2 = 11 and the terminal 1 of 11 is the 4th digit of the sequence;
a(5) + a(6) = 2 + 19 = 21 and the terminal 1 of 21 is the 5th digit of the sequence; etc.

Crossrefs

Cf. A352386, A352387, A352389.

Sequence in context: A105835 A083163 A004451 * A004499 A020509 A103181

Adjacent sequences: A352387 A352388 A352389 * A352391 A352392 A352393

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Mar 14 2022

Status

approved