cv.complex variables - Does there exist a holomorphic function which takes given values on the positive integers?

Inspired of course by What's a natural candidate for an analytic function that interpolates the tower function?
I am minded to ask what looks to me like a more natural question: given a sequence $a_1,a_2,a_3,ldots$ of complex numbers, is there always a holomorphic function $f$ defined on the entire complex plane, with $f(n)=a_n$ for $n=1,2,3,ldots$? No idea what the answer is myself, but wouldn't surprise me if it were well-known and even easy.