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Numbers n such that n + (sum of digits of n) is a power of 10.
4

%I #14 Mar 29 2018 12:09:13

%S 5,86,977,9968,99959,9999950,99999941,999999932,9999999923,

%T 99999999914,999999999896,999999999905,9999999999887,99999999999878,

%U 999999999999869,99999999999999860,999999999999999851,9999999999999999842,99999999999999999833,999999999999999999824,9999999999999999999815,99999999999999999999797

%N Numbers n such that n + (sum of digits of n) is a power of 10.

%D M. Gardner, Time Travel and Other Mathematical Bewilderments. Freeman, NY, 1988, pp. 115-117 and 122.

%D D. R. Kaprekar, Puzzles of the Self-Numbers. 311 Devlali Camp, Devlali, India, 1959.

%D D. R. Kaprekar, The Mathematics of the New Self Numbers (Part V). 311 Devlali Camp, Devlali, India, 1967.

%H Donovan Johnson, <a href="/A232489/b232489.txt">Table of n, a(n) for n = 1..997</a>

%H T. Trotter, <a href="http://www.trottermath.net/numthry/charlene.html">Charlene Numbers</a>

%H [Warning: As of March 2018 this site appears to have been hacked. Proceed with great caution. The original content should be retrieved from the Wayback machine and added here. - _N. J. A. Sloane_, Mar 29 2018]

%H <a href="/index/Coi#Colombian">Index entries for Colombian or self numbers and related sequences</a>

%Y Cf. A062028, A232490, A232491.

%K nonn,base

%O 1,1

%A _N. J. A. Sloane_, Dec 01 2013

%E Terms a(6) onward from _Max Alekseyev_, Dec 02 2013