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

1,1

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.

Links

Table of n, a(n) for n=1..52.

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}.

Example

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.

Sequence in context: A084889 A000404 A025284 * A000415 A172000 A096691

Adjacent sequences: A140325 A140326 A140327 * A140329 A140330 A140331

Keyword

easy,nonn

Author

Jonathan Vos Post, May 26 2008

Status

approved