A232491 Numbers k such that 10^k is not of the form m + sum of digits of m.

6, 16, 26, 36, 46, 57, 67, 77, 87, 97, 107, 116, 126, 136, 146, 157, 167, 177, 187, 197, 207, 217, 226, 236, 246, 257, 267, 277, 287, 297, 307, 317, 327, 336, 346, 357, 367, 377, 387, 397, 407, 417, 427, 437, 457, 467, 477, 487, 497, 507, 517, 527, 537, 547, 567, 577, 587, 597, 607, 617, 627, 637, 647, 658, 668, 677, 687, 697

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..10000
• T. Trotter, Charlene Numbers
• Index entries for Colombian or self numbers and related sequences

Crossrefs

Cf. A062028, A232489, A232490.

Extensions

Terms a(3) onward from Max Alekseyev, Dec 02 2013