cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-4 of 4 results.

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

Original entry on oeis.org

5, 86, 977, 9968, 99959, 9999950, 99999941, 999999932, 9999999923, 99999999914, 999999999896, 999999999905, 9999999999887, 99999999999878, 999999999999869, 99999999999999860, 999999999999999851, 9999999999999999842, 99999999999999999833, 999999999999999999824, 9999999999999999999815, 99999999999999999999797
Offset: 1

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Author

N. J. A. Sloane, Dec 01 2013

Keywords

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

Crossrefs

Cf. A062028, A232490, A232491.

Extensions

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

A232490 Numbers k such that 10^k is of the form m + sum of digits of m.

Original entry on oeis.org

1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 93
Offset: 1

Views

Author

N. J. A. Sloane, Dec 01 2013

Keywords

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

Crossrefs

Cf. A062028, A232489, A232491.

Extensions

Terms a(16) onward from Max Alekseyev, Dec 02 2013

A230301 Positive numbers not of the form m + wt(m-1), m >= 1.

Original entry on oeis.org

2, 5, 7, 14, 16, 19, 22, 24, 31, 33, 38, 40, 47, 49, 52, 55, 57, 64, 72, 79, 81, 84, 87, 89, 96, 98, 103, 105, 112, 114, 117, 120, 122, 129, 131, 134, 136, 143, 145, 148, 151, 153, 160, 162, 167, 169, 176, 178, 181, 184, 186, 193, 201, 208, 210, 213, 216, 218, 225, 227, 232, 234, 241, 243, 246, 249, 251, 271, 273, 276
Offset: 1

Views

Author

N. J. A. Sloane, Oct 23 2013

Keywords

Comments

wt(m) = A000120(m).
These are numbers k such that A228085(2^k) = A228085(k-1) = 0, or numbers k such that 2^k is a binary self number (A010061). - Amiram Eldar, Feb 23 2021

Links

Crossrefs

Cf. A000120, A010061, A228085, A230300, A232491.

Formula

a(n) = A010061(n) + 1.

A233032 Numbers k such that the equation x + (sum of digits of x) = 10^k has two solutions.

Original entry on oeis.org

12, 23, 34, 45, 58, 69, 80, 91, 102, 112, 113, 123, 134, 145, 158, 169, 180, 191, 202, 213, 223, 224, 234, 245, 258, 269, 280, 291, 302, 313, 324, 334, 335, 345, 358, 369, 380, 391, 402, 413, 424, 435, 445, 458, 469, 480, 491, 502, 513, 524, 535, 546, 559, 569, 580, 591, 602, 613, 624, 635, 646, 659, 669, 670, 680, 691, 702
Offset: 1

Views

Author

Max Alekseyev, Dec 03 2013

Keywords

Examples

			For k=12, the two solutions are 999999999896 and 999999999905, for which we have A062028(999999999896) = A062028(999999999905) = 10^12.

Links

Crossrefs

Cf. A062028, A232489, A232490, A232491.
Showing 1-4 of 4 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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