A309357 a(0) = 10; for n>0, a(n) is determined by the rule that the concatenation of the leading terms of the difference triangle is the same as the concatenation of the digits of the sequence, with a one-digit delay between the two concatenations.

10, 11, 24, 98, 9202, 72472, 553842, 5193398, 921620882, 31273520956, 968650569015, 565650768494904, 51922562123268586, 7367920443592247301, 220701022417604992198, 91733043444874938522376, 8272531746849777613531948, 9031433556829947027257917825

Offset

0,1

Comments

Data provided by Lars Blomberg with the comment: "The chosen algorithm breaks down at n=40, probably needs backtracking in order to get further, if at all possible".

It would be nice to have some information about the algorithm used to find this sequence. Is it correct to say that this is "the lexicographically earliest infinite increasing sequence" with the stated property? How many terms are known for certain? - N. J. A. Sloane, Aug 02 2019

Links

Table of n, a(n) for n=0..17.

Eric Angelini and Lars Blomberg, A triangle with a small delay, Postings to Sequence Fans Mailing List, July-August 2019.

Example

Triangle of successive differences begins:
10...11.....24.........98........9202.......72472......553842....
...1....13.......74........9104.......63270......481370....
.....12.....61.......9030.......54166......418100....
........49.....8969.......45136......363934....
..........8920......36167......318798....
..............27247......282631....
...................255384....

Crossrefs

Cf. A125588.

Sequence in context: A326627 A309486 A326588 * A051803 A082517 A300376

Adjacent sequences: A309354 A309355 A309356 * A309358 A309359 A309360

Keyword

base,nonn

Author

Eric Angelini and Lars Blomberg, Aug 02 2019

Extensions

Offset corrected. - R. J. Mathar, Jun 19 2021

Status

approved