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A228546 x-values in the solution to the Pell equation x^2 - 74*y^2 = -1. 2
43, 318157, 2353725443, 17412860509157, 128820339693018043, 953012855636086972957, 7050388977175431732917843, 52158776700130988324039229557, 385870622977180074445810487344843, 2854670816626401490619117661337918957 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
All terms are multiples of 43.
LINKS
Christian Aebi and Grant Cairns, Lattice equable quadrilaterals III: tangential and extangential cases, Integers (2023) Vol. 23, #A48.
FORMULA
a(n) = 7398*a(n-1)-a(n-2).
G.f.: 43*x*(x+1) / (x^2-7398*x+1).
MATHEMATICA
LinearRecurrence[{7398, -1}, {43, 318157}, 10] (* Harvey P. Dale, Oct 13 2017 *)
PROG
(PARI) Vec(43*x*(x+1)/(x^2-7398*x+1) + O(x^30))
CROSSREFS
Cf. A228547 gives the corresponding y-values.
Sequence in context: A155477 A212738 A291993 * A125828 A177417 A116139
KEYWORD
nonn,easy
AUTHOR
Colin Barker, Aug 25 2013
STATUS
approved

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Last modified March 18 22:34 EDT 2024. Contains 370951 sequences. (Running on oeis4.)