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A145333 Numbers n such that there exists x in N : (x+43)^3-x^3=n^2. 2
12943, 436295587, 14707524224827, 495790641182622583, 16713102499558683048103, 563398684764332564368929547, 18992169646692548245317931981267, 640226038226607116585334922719581023, 21582019729626756253399091999559144304063 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
a(n+2) = 33710*a(n+1)-a(n).
a(n) = 1849*A145335(n). - Colin Barker, Oct 20 2014
G.f.: -12943*x*(x-1) / (x^2-33710*x+1). - Colin Barker, Oct 19 2014
EXAMPLE
a(1)=12943 because the first relation is : (1118+43)^3-1118^3=12943^2.
MATHEMATICA
LinearRecurrence[{33710, -1}, {12943, 436295587}, 10] (* Paolo Xausa, Jan 17 2024 *)
PROG
(PARI) Vec(-12943*x*(x-1)/(x^2-33710*x+1) + O(x^20)) \\ Colin Barker, Oct 19 2014
CROSSREFS
Cf. A145335.
Sequence in context: A086004 A090887 A246890 * A190468 A028385 A335742
KEYWORD
easy,nonn
AUTHOR
Richard Choulet, Oct 08 2008
STATUS
approved

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Last modified June 23 10:38 EDT 2024. Contains 373643 sequences. (Running on oeis4.)