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 A273508 Values of A272701 that are the sum of a positive square and a positive cube in more than one way. 0
 36998208, 449519625, 2367885312, 8016025680, 9563569561, 14753560033, 26971693632, 28769256000, 61358997609, 151544659968, 225128651328, 278450575201, 282429583137, 310289733000, 310289733000, 327699806625, 498700534033, 513025643520, 578097000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Taxi-cab numbers (A001235) that are the sum of two nonzero squares in more than one way and also the sum of a positive square and a positive cube in more than one way. Subsequence of A273498. A001235(293) = 6^3*A001235(16) = 6^3*171288 = 36998208 is the least number with this property. 14753560033 = 1453*2677*3793 is the first term that is in A272935. Obviously, in this sequence there are perfect powers infinitely many times. LINKS EXAMPLE 36998208 is a term because 36998208 = 102^3 + 330^3 = 144^3 + 324^3 = 1728^2 + 324^3 = 5832^2 + 144^3 = 648^2 + 6048^2 = 1728^2 + 5832^2. CROSSREFS Cf. A001235, A007692, A054402, A272701, A273498. Sequence in context: A345630 A346285 A028965 * A340713 A263347 A263560 Adjacent sequences:  A273505 A273506 A273507 * A273509 A273510 A273511 KEYWORD nonn AUTHOR Altug Alkan, May 23 2016 EXTENSIONS a(2)-a(19) from Giovanni Resta, May 24 2016 STATUS approved

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Last modified July 24 02:31 EDT 2021. Contains 346270 sequences. (Running on oeis4.)