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.

A113952 Largest exclusionary n-th power (or 0 if no such number exists).

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%I A113952 #12 Mar 14 2025 20:04:41
%S A113952 408540845584,449103134312,51050010415041,0,606355001344,
%T A113952 60170087060757,66045000696445844586496,0,3570467226624,743008370688,
%U A113952 16777216,0,9012061295995008299689,0,1853020188851841,0,0,1162261467,1099511627776
%N A113952 Largest exclusionary n-th power (or 0 if no such number exists).
%C A113952 An exclusionary n-th power m^n is one made up of digits not appearing in the root m which itself consists of distinct digits. For the corresponding root m, see A113951. In principle, no exclusionary n-th power exists for n=1(mod 4)=A016813.
%D A113952 H. Ibstedt, Solution to Problem 2623, "Exclusionary Powers", pp. 346-9 Journal of Recreational Mathematics, Vol. 32 No.4 2003-4 Baywood NY.
%H A113952 Shyam Sunder Gupta, <a href="https://doi.org/10.1007/978-981-97-2465-9_2">Elegance of Squares, Cubes, and Higher Powers</a>, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 2, 29-81.
%e A113952 a(10)=3570467226624 because it shares no digit in common with its 10th root 18 and no number with distinct digits greater than 18 exhibits such property.
%Y A113952 Cf. A112735, A112993, A113317.
%K A113952 base,nonn,fini
%O A113952 2,1
%A A113952 _Lekraj Beedassy_, Nov 09 2005