A367645 Lexicographically earliest sequence of distinct positive numbers with the property that the sequence formed by the pairs of digits adjacent to the commas between the terms equals the magnitude of the successive differences between the terms.

1, 12, 35, 94, 135, 78, 159, 63, 30, 28, 109, 18

Offset

1,2

Comments

The sequence is finite; after twelve terms 18 is reached which has no following term - see A367341.

Links

Table of n, a(n) for n=1..12.

Example

a(6) = 78 as a(5) = 135, and |78 - 135| = 57 which can be formed from the last digit of 135 and the first digit of 78.
a(12) = 18 as a(11) = 109, and |18 - 109| = 91 which can be formed from the last digit of 109 and the first digit of 18. See A367341 for a proof that no following term can exist.

Crossrefs

Cf. A121805, A367341, A367635.

Sequence in context: A195858 A368782 A367635 * A121805 A367359 A367344

Adjacent sequences: A367642 A367643 A367644 * A367646 A367647 A367648

Keyword

nonn,fini,full,base

Author

Scott R. Shannon and Eric Angelini, Nov 25 2023

Status

approved