A331626 Lexicographically earliest sequence of distinct positive terms such that a(n), a(n+1) and a(n) + a(n+1) have no digit in common.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 14, 25, 18, 26, 17, 23, 44, 12, 33, 15, 24, 31, 27, 13, 42, 16, 28, 19, 36, 21, 34, 52, 37, 29, 35, 41, 38, 54, 32, 45, 62, 39, 46, 51, 47, 53, 48, 55, 43, 56, 73, 49, 57, 63, 58, 64, 59, 68, 72, 66, 75, 69, 82, 65, 74, 88, 67, 83, 76, 133, 87, 113, 89, 77, 84, 79, 85

Offset

1,2

Links

Carole Dubois, Table of n, a(n) for n = 1..550

Example

a(1) = 1, a(2) = 2 and their sum 3 have no digit in common;
a(2) = 2, a(3) = 3 and their sum 5 have no digit in common;
a(3) = 3, a(4) = 4 and their sum 7 have no digit in common;
...
a(9) = 9, a(10) = 11 and their sum 20 have no digit in common;
a(10) = 11, a(6) = 22 and their sum 33 have no digit in common;
a(11) = 22, a(7) = 14 and their sum 36 have no digit in common; etc.

Crossrefs

Cf. A331604 (the three terms have at least one digit in common)

Sequence in context: A352463 A326402 A127204 * A102235 A107272 A039228

Adjacent sequences: A331623 A331624 A331625 * A331627 A331628 A331629

Keyword

base,nonn

Author

Carole Dubois and Eric Angelini, Jan 23 2020

Status

approved