

A230867


Smallest number m such that u + (sum of base5 digits of u) = m has exactly n solutions.


10




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.


REFERENCES

Max A. Alekseyev, Donovan Johnson and N. J. A. Sloane, On Kaprekar's Junction Numbers, in preparation, 2017.


LINKS

Table of n, a(n) for n=1..6.
Max Alekseyev, Table of expressions for a(n), for n=1..100


EXAMPLE

a(5) = 1953134 corresponds to the five solutions:
1953099 (base5: 444444344)
1953103 (base5: 444444403)
1953105 (base5: 444444410)
1953129 (base5: 1000000004)
1953131 (base5: 1000000011).


CROSSREFS

A230868 gives the leading power of 5 in a(n).
Smallest number m such that u + (sum of baseb 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 A179162 A285806
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



