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A230867 Smallest number m such that u + (sum of base-5 digits of u) = m has exactly n solutions. 10
0, 6, 26, 632, 1953134, 30517578152 (list; graph; refs; listen; history; text; internal format)
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 (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 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

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Last modified January 18 19:43 EST 2020. Contains 331029 sequences. (Running on oeis4.)