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A145336
Numbers x such that there exists n in N : (x+1)^3-x^3=43*n^2.
2
26, 893341, 30114541938, 1015161207853493, 34221084286626723946, 1153592750287025656383021, 38887611577954550590044930818, 1310901385139255150103388961508613, 44190485654156679532030691302410430266, 1489661270090720281885499453700866642775101
OFFSET
1,1
FORMULA
a(n+2) = 33710*a(n+1)-a(n)+16854.
G.f.: x*(27*x^2-16855*x-26) / ((x-1)*(x^2-33710*x+1)). - Colin Barker, Oct 18 2014
EXAMPLE
a(1)=26 because the first relation is : 27^3-26^3=43*7^2.
MATHEMATICA
LinearRecurrence[{33711, -33711, 1}, {26, 893341, 30114541938}, 20] (* Harvey P. Dale, Mar 16 2023 *)
PROG
(PARI) Vec(x*(27*x^2-16855*x-26)/((x-1)*(x^2-33710*x+1)) + O(x^20)) \\ Colin Barker, Oct 18 2014
CROSSREFS
Sequence in context: A112946 A034246 A377765 * A377761 A271246 A005084
KEYWORD
easy,nonn
AUTHOR
Richard Choulet, Oct 08 2008
EXTENSIONS
Editing and more terms from Colin Barker, Oct 18 2014
STATUS
approved