A232489 Numbers k such that k + (sum of digits of k) is a power of 10.

5, 86, 977, 9968, 99959, 9999950, 99999941, 999999932, 9999999923, 99999999914, 999999999896, 999999999905, 9999999999887, 99999999999878, 999999999999869, 99999999999999860, 999999999999999851, 9999999999999999842, 99999999999999999833, 999999999999999999824, 9999999999999999999815, 99999999999999999999797

Offset: 1

Author

N. J. A. Sloane, Dec 01 2013

Keywords

• nonn
• base

References

• M. Gardner, Time Travel and Other Mathematical Bewilderments. Freeman, NY, 1988, pp. 115-117 and 122.
• D. R. Kaprekar, Puzzles of the Self-Numbers. 311 Devlali Camp, Devlali, India, 1959.
• D. R. Kaprekar, The Mathematics of the New Self Numbers (Part V). 311 Devlali Camp, Devlali, India, 1967.

Links

• Donovan Johnson, Table of n, a(n) for n = 1..997
• T. Trotter, Charlene Numbers
• Index entries for Colombian or self numbers and related sequences

Crossrefs

Cf. A062028, A232490, A232491.

Extensions

Terms a(6) onward from Max Alekseyev, Dec 02 2013