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

1,1

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.

Sequence in context: A073862 A222983 A243075 * A318219 A182963 A220617

Adjacent sequences: A232486 A232487 A232488 * A232490 A232491 A232492

Keyword

nonn,base

Author

N. J. A. Sloane, Dec 01 2013

Extensions

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

Status

approved