Contents
1 On the sequence of values $(f(0),f(1),f(2),\ldots)$
2 On the sequence of values $(f(0),f^{\prime}(0),f^{\prime\prime}(0),\ldots)$
3 Several points and/or several derivatives
4 Variants
5 Connection with transcendental number theory
6 Lidstone interpolation and generalizations