A238841 Smallest number m such that u + (sum of base-7 digits of u) = m has exactly n solutions.

0, 8, 50, 352, 282475258, 232630513987258, 418377847259091645147530834859099334519176045887014771594

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 12:3 (2022), 115-155.

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: A133129 A103458 A339687 * A100310 A124963 A295167

Adjacent sequences: A238838 A238839 A238840 * A238842 A238843 A238844

Keyword

nonn,base

Author

N. J. A. Sloane, Mar 19 2014

Status

approved