A377422 Numbers that can be expressed as (m + sum of digits of m) in exactly four ways.

1000000000000000000000102, 1000000000000000000000104, 1000000000000000000000106, 1000000000000000000000108, 1000000000000000000000110, 1000000000000000000000112, 1000000000000000000000114, 2000000000000000000000103, 2000000000000000000000105, 2000000000000000000000107, 2000000000000000000000109

Offset

1,1

Comments

Numbers k such that A230093(k) = 0 give A003052, the Self or Colombian numbers.

Numbers k such that A230093(k) = 1 give A225793.

Numbers k such that A230093(k) = 2 give A230094.

Numbers k such that A230093(k) = 3 give A230100.

Numbers k such that A230093(k) = 4 give this sequence.

Links

Daniel Mondot, Table of n, a(n) for n = 1..10000

Max A. Alekseyev and N. J. A. Sloane, On Kaprekar's Junction Numbers, arXiv:2112.14365, 2021; Journal of Combinatorics and Number Theory 12:3 (2022), 115-155.

Example

There are exactly four numbers, 999999999999999999999894, 999999999999999999999903, 1000000000000000000000092, and 1000000000000000000000101, whose image under n->f(n) is 1000000000000000000000104, so 1000000000000000000000104 is a member of the sequence.

Crossrefs

Cf. A230100, A006064, A062028, A230093.

Sequence in context: A257374 A217422 A328860 * A095442 A332605 A130682

Adjacent sequences: A377419 A377420 A377421 * A377423 A377424 A377425

Keyword

nonn,base

Author

Daniel Mondot, Oct 27 2024

Extensions

Corrected by Daniel Mondot, Apr 17 2025

Status

approved