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.

A173054 Numbers of the form x^y + y^x, 1 < x < y.

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%I A173054 #9 Jul 04 2025 19:21:20
%S A173054 17,32,57,100,145,177,320,368,593,945,1124,1649,2169,2530,4240,5392,
%T A173054 7073,8361,16580,18785,20412,23401,32993,60049,65792,69632,94932,
%U A173054 131361,178478,262468,268705,397585,423393,524649,533169,1048976,1058576
%N A173054 Numbers of the form x^y + y^x, 1 < x < y.
%H A173054 T. D. Noe, <a href="/A173054/b173054.txt">Table of n, a(n) for n=1..1000</a>
%e A173054 17 is in the sequence because 17 = 2^3 + 3^2.
%t A173054 f[a_,b_]:=a^b+b^a; Take[Union[Flatten[Table[f[a,b],{a,2,50},{b,a+1,50}]]],80]
%t A173054 nn=10^50; n=1; Union[Reap[While[n++; k=n+1; num=n^k+k^n; num<nn, Sow[num]; While[k++; num=n^k+k^n; num<nn, Sow[num]]]][[2,1]]]
%Y A173054 Cf. A076980, A385232, A385614.
%K A173054 nonn,easy
%O A173054 1,1
%A A173054 _Vladimir Joseph Stephan Orlovsky_, Feb 08 2010