A140328 Sum of two squares of Lucas numbers (A000032).

2, 5, 8, 10, 13, 17, 18, 20, 25, 32, 50, 53, 58, 65, 98, 122, 125, 130, 137, 170, 242, 325, 328, 333, 340, 373, 445, 648, 842, 845, 850, 857, 890, 965, 1165, 1682, 2210, 2213, 2218, 2225, 2258, 2330, 2533, 3050, 4418, 5777, 5780, 5785, 5792, 5825, 5897, 6100

Offset: 1

Author

Jonathan Vos Post, May 26 2008

Keywords

• easy
• nonn

Comments

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

Examples

			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.
		

Crossrefs

Cf. A000032, A001254, A045702.

Formula

{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}.