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A140328 Sum of two squares of Lucas numbers (A000032). 0

%I

%S 2,5,8,10,13,17,18,20,25,32,50,53,58,65,98,122,125,130,137,170,242,

%T 325,328,333,340,373,445,648,842,845,850,857,890,965,1165,1682,2210,

%U 2213,2218,2225,2258,2330,2533,3050,4418,5777,5780,5785,5792,5825,5897,6100

%N Sum of two squares of Lucas numbers (A000032).

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

%F {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}.

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

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

%Y Cf. A000032, A001254, A045702.

%K easy,nonn

%O 1,1

%A _Jonathan Vos Post_, May 26 2008

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Last modified September 18 01:39 EDT 2021. Contains 347504 sequences. (Running on oeis4.)