Patterns in Reversible Semi-Selfie Numbers
Year: 2026
Type: preprint
Abstract: A power N=a^k is a semi-selfie number when its digits, in the same order, can be split into groups with plus or minus signs adding up to the base a. This work studies 121 patterns of semi-selfie numbers with first bases from 1 to 2500, and asks which of them still work when the digits of N are read backwards. Of the 121 patterns, 45 are reversible in every line, and 35 of these have a regular reverse pattern. The other 76 are not reversible: 18 reverse only in some lines, 17 fail already in the first line, and 41 end in 0. The work also lists the semi-selfie powers with single-digit bases below 10^11: 94 of the 98 are reversible.
Author: Inder J. Taneja
Institution: Universidade Federal de Santa Catarina
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225809292
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