A309357 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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....