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

Author

Daniel Mondot, Oct 27 2024

Keywords

• nonn
• base

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.

Examples

			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.
		

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.

Crossrefs

Cf. A230100, A006064, A062028, A230093.

Extensions

Corrected by Daniel Mondot, Apr 17 2025