A375243 Infinite variant of A375232.

0, 10, 20, 100, 30, 102, 40, 101, 203, 105, 60, 1024, 300, 107, 200, 150, 304, 1026, 80, 109, 230, 10457, 0, 120, 306, 110, 204, 1058, 303, 10279, 0, 1046, 302, 501, 0, 201, 3048, 170, 206, 1059, 330, 1042, 0, 1000, 320, 105678, 400, 210, 3000, 190, 202, 1045, 360, 1027, 800, 1001, 2034, 510, 0, 10269

Offset

1,2

Comments

Instead of stopping the sequence when no integer is available, we extend it with 0 and go on (0 being the only term allowed to be repeated whenever nothing else works). This method seems to work ad infinitum.

Around 90% of the terms are not equal to 0.

For the first 1000 terms, the largest chunk between two successive 0 is the 24-integer long serie [101101, 2630, 8015, 40044, 10122, 333330, 1907, 200222, 10456, 10200, 80008, 101110, 3204, 5107, 6660, 9012, 1400, 202000, 8051, 10276, 40400, 101111, 20223, 5109].

Links

Table of n, a(n) for n=1..60.

Example

The finite sequence A375232 ends with 80, 109, 230, 10457. If we extend it with a(23) = 0, we can compute a(24) = 120, a(25) = 306 then 110, 204, 1058, 303 and 10279. No more integers are available at that stage. But, again, we can extend the sequence with a(31) = 0, then a(32) = 1046 and 302, 501, 0, 201, 3048, 170, etc.
A repeated single 0 is counted as a term of the sequence.

Crossrefs

Cf. A284516, A375232.

Sequence in context: A215878 A200985 A375232 * A166641 A101244 A260743

Adjacent sequences: A375240 A375241 A375242 * A375244 A375245 A375246

Keyword

nonn,base

Author

Eric Angelini and Jean-Marc Falcoz, Aug 07 2024

Status

approved