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Based onNow a port of Surculose Sputum's formulaanswer.
f=(a,b,c)=>(g=(x,yn)=>=>n^3&&(x+y+ca+b+c)*(x*xc*c/ya/cb-ya/cb-cb/y+2a+2)**.5)(a,b)+g5+f(b,a)+g(c,a,c=b-~n)
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Based on Surculose Sputum's formula.
(a,b,c)=>(g=(x,y)=>(x+y+c)*(x*x/y/c-y/c-c/y+2)**.5)(a,b)+g(b,a)+g(c,a,c=b)
Try it online!
Now a port of Surculose Sputum's answer.
f=(a,b,c,n)=>n^3&&(a+b+c)*(c*c/a/b-a/b-b/a+2)**.5+f(b,c,a,-~n)
(a,b,c)=>(g=(x,y)=>(x+y+c)*((x*x-(/y-c)**2)/c-y/c-c/y+2)**.5)(a,b)+g(b,a)+g(c,a,c=b)
(a,b,c)=>(g=(x,y)=>(x+y+c)*((x*x-(y-c)**2)/y/c)**.5)(a,b)+g(b,a)+g(c,a,c=b)
(a,b,c)=>(a+b+c)*((g=(x,y)=>(x+y+c)*((x*x-(y-c)**2)/y/c)**.5)(a,b)+g(b,a)+g(c,a,c=b))
(a,b,c)=>(a+b+c)*((g=(x,y)=>((x*x-(y-c)**2)/y/c)**.5)(a,b)+g(b,a)+g(c,a,c=b))
