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this paper a particular pencil of K3 surfaces is investigated. The PicardFuchs equation, solutions, and the monoromy group are found. The paper of 17 gives the Picard-Fuchs equation for several families of elliptic curves. Similar methods are used in 13 and 14 to obtain the Picard-Fuchs equation for the case of certain pencils of K3 surfaces also. In these papers finding the Picard-Fuchs equation comes down to finding a recurrence relation for some sequence of combinatorially defined terms, e.g., in 5, recurrence relations are found for a n in the following cases: a n =
Helena Verrill (Mon,) studied this question.
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