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A180244 Numbers whose square can be expressed as the sum of a square, a cube and a fourth power of three different numbers. 1

%I #8 Mar 19 2023 08:21:42

%S 5,8,9,12,17,19,21,22,23,25,28,31,32,33,35,37,38,39,42,44,45,46,47,51,

%T 52,53,54,55,57,59,60,61,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,

%U 81,82,83,84,85,87,88,89,90,91,93,95,96,97,98,99,100,101,103,105,107

%N Numbers whose square can be expressed as the sum of a square, a cube and a fourth power of three different numbers.

%C Subset of A180241, containing terms arising from different bases only.

%e a(5)=17 since 17^2 = 289 = 5^2+2^3+4^4 = 12^2+4^3+3^4; (5,2,4) and (12,4,3) are all different. [Corrected by _Bruno Berselli_, Aug 25 2010]

%Y Cf. A180241, A180243.

%K nonn

%O 1,1

%A _Carmine Suriano_, Aug 19 2010

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Last modified July 14 20:49 EDT 2024. Contains 374323 sequences. (Running on oeis4.)