A238843 Smallest number m such that u + (sum of base-9 digits of u) = m has exactly n solutions.

0, 10, 82, 740, 282429536492, 109418989131512359292, 193632597890512706847971583764083347958511186984324587565465147107798425867049291402906445603076812

Offset

1,2

Links

Table of n, a(n) for n=1..7.

Max Alekseyev, Table of expressions for a(n), for n=1..100

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

Crossrefs

Smallest number m such that u + (sum of base-b digits of u) = m has exactly n solutions, for bases 2 through 10: A230303, A230640, A230638, A230867, A238840, A238841, A238842, A238843, A006064.

Sequence in context: A199701 A103460 A339689 * A360698 A026954 A116879

Adjacent sequences: A238840 A238841 A238842 * A238844 A238845 A238846

Keyword

nonn,base

Author

N. J. A. Sloane, Mar 19 2014

Status

approved