login
Greater of a,b where n^2 = a^3 + b^3; a,b>0 and gcd(a,b)=1. The lesser of a,b is the corresponding term in A099532 and n, which is used to order this sequence, is the corresponding term in A099426.
5

%I #16 Jan 22 2025 05:40:35

%S 2,37,65,112,312,433,1064,877,1177,1201,1617,1969,2345,2480,2543,3081,

%T 3482,4019,4440,5160,6337,6489,5985,7729,8663,9265,10274,8848,10753,

%U 12688,11821,12071,14345,13937,16352,15520,17761,16296,15962,21923

%N Greater of a,b where n^2 = a^3 + b^3; a,b>0 and gcd(a,b)=1. The lesser of a,b is the corresponding term in A099532 and n, which is used to order this sequence, is the corresponding term in A099426.

%H Donovan Johnson, <a href="/A099533/b099533.txt">Table of n, a(n) for n = 1..300</a>

%e Term #2 is 37 because term #2 of A099426 is 228, 228^2 = 11^3 + 37^3 and 37 > 11.

%o (PARI) for(s=2,1e5,for(x=1,s\2,my(y=s-x);if(gcd(x,y)>1,next); if(issquare(x^3+y^3), print1(y", ")))) \\ _Charles R Greathouse IV_, Nov 06 2014

%Y Cf. A099426, A099532, A282639 (sorted not by n but max(a,b)).

%K nonn

%O 1,1

%A _Hans Havermann_, Oct 20 2004