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Search: id:A145333
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| A145333 |
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Numbers n such that there exists x in N : (x+43)^3-x^3=n^2 |
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+0
1
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| 12943, 436295587, 14707524224827, 495790641182622583, 16713102499558683048103, 563398684764332564368929547, 18992169646692548245317931981267, 640226038226607116585334922719581023
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OFFSET
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1,1
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FORMULA
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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 [From Paolo P. Lava (ppl(AT)spl.at), Nov 25 2008]
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EXAMPLE
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a(1)=12943 because the first relation is : (1118+43)^3-1118^3=12943^2
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CROSSREFS
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Sequence in context: A162895 A086004 A090887 this_sequence A028385 A138762 A139777
Adjacent sequences: A145330 A145331 A145332 this_sequence A145334 A145335 A145336
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KEYWORD
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easy,nonn
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AUTHOR
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Richard Choulet (richardchoulet(AT)yahoo.fr), Oct 08 2008
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