A238842 Smallest number m such that u + (sum of base-8 digits of u) = m has exactly n solutions.

0, 65, 8589934593, 1152921504606847042

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..4.

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: A185823 A035519 A368189 * A059755 A215657 A157631

Adjacent sequences: A238839 A238840 A238841 * A238843 A238844 A238845

Keyword

nonn,base

Author

N. J. A. Sloane, Mar 19 2014

Status

approved