The equation should be
d 2 y d x 2 = ∑ n = 2 ∞ n ( n − 1 ) a n x n − 2 = ∑ n = 0 ∞ ( n + 2 ) ( n + 1 ) a n + 2 x n {\displaystyle {\frac {d^{2}y}{dx^{2}}}=\sum _{n=2}^{\infty }n(n-1)a_{n}x^{n-2}=\sum _{n=0}^{\infty }(n+2)(n+1)a_{n+2}x^{n}}
Return to errata.