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 A033315 Incrementally largest values of minimal x satisfying Pell equation x^2-Dy^2=1. 17
 1, 3, 9, 19, 649, 9801, 24335, 66249, 1766319049, 158070671986249, 2469645423824185801, 159150073798980475849, 838721786045180184649, 25052977273092427986049, 3879474045914926879468217167061449 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS T. D. Noe and Ray Chandler, Table of n, a(n) for n = 1..62 (first 50 terms from T. D. Noe) Eric Weisstein's World of Mathematics, Pell Equation. MATHEMATICA PellSolve[(m_Integer)?Positive] := Module[{cf, n, s}, cf = ContinuedFraction[Sqrt[m]]; n = Length[Last[cf]]; If[n == 0, Return[{}]]; If[OddQ[n], n = 2 n]; s = FromContinuedFraction[ ContinuedFraction[ Sqrt[m], n]]; {Numerator[s], Denominator[s]}]; xx = DeleteCases[PellSolve /@ Range[10^5], {}][[All, 1]]; Reap[Module[{x, record = 0}, Sow[1]; For[i = 1, i <= Length@xx, i++, x = xx[[i]]; If[x > record, record = x; Sow[x]]]]][[2, 1]] (* Jean-François Alcover, Nov 21 2020, after N. J. A. Sloane in A002349 *) CROSSREFS Records in A033313 (or A002350). Cf. A033313, A033314, A002349, A002350. Cf. A033316 (corresponding values of D) Sequence in context: A146066 A164283 A178963 * A200612 A355136 A073716 Adjacent sequences: A033312 A033313 A033314 * A033316 A033317 A033318 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified March 28 13:18 EDT 2023. Contains 361585 sequences. (Running on oeis4.)