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Theorems · Definition · number theory

Pell.pell

{a : ℕ} → 1 < a → ℕ → ℕ × ℕ

The Pell sequences, i.e. the sequence of integer solutions to x ^ 2 - d * y ^ 2 = 1, where d = a ^ 2 - 1, defined together in mutual recursion.

Defined in
Mathlib.NumberTheory.PellMatiyasevic
Cited by
1 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms

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