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.

Previous Showing 11-11 of 11 results.

A226024 Integers k such that (sum of digits of 10234*k) = k.

Original entry on oeis.org

10, 13, 15, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 32, 34, 37, 38
Offset: 1

Views

Author

Zak Seidov, May 23 2013

Keywords

Comments

Inspired by Carmine Suriano's comment in A113315.
Proof that 38 is the highest value: 10234*38=388892 has 6 digits. Maximum value of digitsum for a 6-digit numer is 54. Direct inspection of digitsum of 10234*39=399126 through 10234*54=552637 shows that no other solution exists. For numbers 55 through 97, direct inspection shows that no other solution exists either. For n>97, the number has 7 digits, having 63 as its maximum digitsum; therefore, no solution exists for any number >97. - Carmine Suriano, Sep 23 2013

Examples

			A007953(10234*n) = n.

Crossrefs

Cf. A005349, A007953, A113315.
Previous Showing 11-11 of 11 results.

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

Content is available under The OEIS End-User License Agreement.