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Smallest number m such that u + (sum of base-6 digits of u) = m has exactly n solutions.
9

%I #27 Sep 05 2024 15:40:02

%S 0,37,10077697,2821109907494

%N Smallest number m such that u + (sum of base-6 digits of u) = m has exactly n solutions.

%C The next term is a(5) = 6^((6^9+6^2+8)/5) + 38 = 6^2015548 + 38 and is too large to display.

%H Max Alekseyev, <a href="/A238840/a238840.txt">Table of expressions for a(n), for n=1..100</a>

%H Max A. Alekseyev and N. J. A. Sloane, <a href="https://arxiv.org/abs/2112.14365">On Kaprekar's Junction Numbers</a>, arXiv:2112.14365, 2021; Journal of Combinatorics and Number Theory 12:3 (2022), 115-155.

%Y 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.

%K nonn,base

%O 1,2

%A _N. J. A. Sloane_, Mar 19 2014