A238842 - OEIS

%I #25 Sep 05 2024 15:41:10

%S 0,65,8589934593,1152921504606847042

%N Smallest number m such that u + (sum of base-8 digits of u) = m has exactly n solutions.

%C The next term is a(5) = 8^((8^11+76)/7) + 66 = 8^1227133524 + 66 and is too large to display.

%H Max Alekseyev, <a href="/A238842/a238842.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