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A145333 Numbers n such that there exists x in N : (x+43)^3-x^3=n^2. 1
12943, 436295587, 14707524224827, 495790641182622583, 16713102499558683048103, 563398684764332564368929547, 18992169646692548245317931981267, 640226038226607116585334922719581023, 21582019729626756253399091999559144304063 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..9.

Index entries for linear recurrences with constant coefficients, signature (33710,-1).

FORMULA

a(n+2) = 33710*a(n+1)-a(n).

a(n ) =(12943/2)*{[16855+1484*sqrt(129)]^n+[16855-1484*sqrt(129)]^n}-(2279/4)*sqrt(129)*{[16855-1484*sqrt(129)]^n-[16855+1484*sqrt(129)]^n} with n>=0. - Paolo P. Lava, Nov 25 2008

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.

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

Adjacent sequences:  A145330 A145331 A145332 * A145334 A145335 A145336

KEYWORD

easy,nonn

AUTHOR

Richard Choulet, Oct 08 2008

STATUS

approved

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Last modified May 7 16:00 EDT 2021. Contains 343652 sequences. (Running on oeis4.)