1,1

This is to A045702 as Lucas numbers (A000032) are to Fibonacci numbers A000045. Hypotenuse squared of right triangle whose legs are both Lucas numbers.

{k = i + j such that i is in A000032^2 and j is in A000032^2} = {k = i + j such that i is in A001254 and j is in A001254}.

a(1) = 2 because A001254(1) = 1^2 = 1, and 1 + 1 = 2.

a(17) = 125 because A001254(5) = 11^2 = 121, A001254(0) = 2^2 = 4, and 125 + 4 = 125.

Cf. A000032, A001254, A045702.

Sequence in context: A084889 A000404 A025284 this_sequence A000415 A096691 A070216

Adjacent sequences: A140325 A140326 A140327 this_sequence A140329 A140330 A140331

easy,nonn

Jonathan Vos Post (jvospost3(AT)gmail.com), May 26 2008