A273508 Values of A272701 that are the sum of a positive square and a positive cube in more than one way.

36998208, 449519625, 2367885312, 8016025680, 9563569561, 14753560033, 26971693632, 28769256000, 61358997609, 151544659968, 225128651328, 278450575201, 282429583137, 310289733000, 310289733000, 327699806625, 498700534033, 513025643520, 578097000000

Offset: 1

Author

Altug Alkan, May 23 2016

Keywords

• nonn

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.

Examples

			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.

Extensions

a(2)-a(19) from Giovanni Resta, May 24 2016