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A376755 a(n) = A376202(6*n+1)/6.

%I A376755 #32 Oct 08 2024 09:33:10
%S A376755 1,2,3,0,5,6,7,7,0,10,11,12,13,0,24,16,17,18,0,0,21,36,23,0,25,26,27,
%T A376755 26,0,30,0,32,33,0,35,60,37,38,0,40,72,0,72,0,45,46,47,0,0,84,51,52,0,
%U A376755 0,55,56,49,58,0,57,61,62,63,0,0,66,120,68,0,70,120,72
%N A376755 a(n) = A376202(6*n+1)/6.
%H A376755 Chai Wah Wu, <a href="/A376755/b376755.txt">Table of n, a(n) for n = 1..3470</a>
%o A376755 (Python)
%o A376755 from math import gcd
%o A376755 def A376755(n):
%o A376755     c, m = 0, 6*n|1
%o A376755     for x in range(1,m):
%o A376755         if gcd(x,m) == 1:
%o A376755             for y in range(x,m):
%o A376755                 if gcd(y,m)==gcd(z:=x+y,m)==1 and not (w:=z**2-x*y)//gcd(w,x*y*z)%m:
%o A376755                     c += 1
%o A376755     return c//6 # _Chai Wah Wu_, Oct 06 2024
%Y A376755 Cf. A000086, A046530, A087786, A290731, A376202, A376203, A376756, A376757.
%K A376755 nonn
%O A376755 1,2
%A A376755 _Tom Duff_ and _N. J. A. Sloane_, Oct 06 2024
%E A376755 a(51)-a(72) from _Chai Wah Wu_, Oct 06 2024