#Python 3, ~~104~~ 74 bytes
def a(n):x=(int((n-1)**.5)+1)//2;return 8*x**2+(6,-2)[n<=4*x**2+2*x]*x+2-n
Kapocsi
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#Python 3, ~~104~~ 74 bytes
def a(n):x=(int((n-1)**.5)+1)//2;return 8*x**2+(6,-2)[n<=4*x**2+2*x]*x+2-n