A367635 Variation of the "Comma sequence" A121805: allow one or more digits from both a(n-1) and a(n) to form the magnitude of the difference |a(n) - a(n-1)|, always choosing the minimum possible distinct value for a(n).

1, 12, 35, 94, 135, 78, 159, 63, 30, 15, 72, 48, 129, 36, 399, 306, 244, 202, 181, 170, 85, 32, 6, 73, 104, 59, 150, 75, 23, 58, 139, 45, 499, 405, 352, 76, 8, 97, 25, 83, 49, 140, 70, 64, 22, 46, 107, 34, 82, 57, 128, 44, 2, 24, 71, 56, 117, 43, 81, 65, 14, 60, 55, 106, 42, 20, 10, 5, 61, 47

Offset

1,2

Comments

The sequence is finite; after 206 terms 9 is reached which only has one possible following term 100, but 100 has already appeared. The largest difference between terms is 910, from a(151) = 99 to a(152) = 1009, the later being the largest term of the sequence.

Links

Scott R. Shannon, Table of n, a(n) for n = 1..206

Example

a(6) = 78 as a(5) = 135, and |78 - 135| = 57 which can be formed from one digit of 135 and one digit of 78.
a(15) = 399 as a(14) = 36, and |399 - 36| = 363 which can be formed from two digits of 36 and one digit of 399. This is the first term whose difference with the previous term uses more than two digits.

Crossrefs

Cf. A121805, A367363, A367645.

Sequence in context: A058968 A195858 A368782 * A367645 A121805 A367359

Adjacent sequences: A367632 A367633 A367634 * A367636 A367637 A367638

Keyword

nonn,base,fini,full

Author

Scott R. Shannon, Nov 25 2023

Status

approved