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We study the integer sequence v n of numbers of lines in hypersurfaces of degree 2n − 3 of P n , n > 1. We prove a number of congruence properties of these numbers of several different types. Furthermore, the asymptotics of the v n are described (in an appendix by Don Zagier). An attempt is made at a similar analysis of two other enumerative sequences: the… (More)

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