A230867 Smallest number m such that u + (sum of base-5 digits of u) = m has exactly n solutions.

0, 6, 26, 632, 1953134, 30517578152

Offset

1,2

Comments

Indices of records in A230866: a(n) is the index of the first n in A230866.

The next two terms are a(7) = 5^165 + 27, a(8) = 5^317 + 633.

Links

Pontus von Brömssen, Table of n, a(n) for n = 1..8 (based on comment about a(7) and a(8))

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.

Example

a(5) = 1953134 corresponds to the five solutions:
1953099 (base-5: 444444344)
1953103 (base-5: 444444403)
1953105 (base-5: 444444410)
1953129 (base-5: 1000000004)
1953131 (base-5: 1000000011).

Crossrefs

A230868 gives the leading power of 5 in a(n).

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.

Cf. A230865, A230866.

Sequence in context: A323868 A226980 A199591 * A137088 A356813 A179162

Adjacent sequences: A230864 A230865 A230866 * A230868 A230869 A230870

Keyword

nonn,base

Author

N. J. A. Sloane, Nov 05 2013

Extensions

a(5) corrected by Donovan Johnson, Nov 05 2013

Status

approved