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A145527
Numbers n such that there exists x in N : (x+91)^3-x^3=n^2.
1
8281, 12032293, 17494945741, 25437639075121, 36986309720280193, 53778068895648325501, 78193275187962944998261, 113692968345229226379145993, 165309497780688107192333275561, 240359896080152162628426203519701, 349483123591043463773624507584369693
OFFSET
1,1
FORMULA
a(n+2) = 1454*a(n+1)-a(n).
a(n) = A145529(n)*8281. - Colin Barker, Oct 20 2014
G.f.: -8281*x*(x-1) / (x^2-1454*x+1). - Colin Barker, Oct 20 2014
EXAMPLE
a(1)=8281 because the first relation is (455+91)^3-455^3=8281^2.
MATHEMATICA
LinearRecurrence[{1454, -1}, {8281, 12032293}, 15] (* Paolo Xausa, Jan 17 2024 *)
PROG
(PARI) Vec(-8281*x*(x-1)/(x^2-1454*x+1) + O(x^20)) \\ Colin Barker, Oct 20 2014
CROSSREFS
Cf. A145529.
Sequence in context: A271748 A064014 A203881 * A054215 A031589 A031769
KEYWORD
easy,nonn
AUTHOR
Richard Choulet, Oct 12 2008
EXTENSIONS
Editing and more terms from Colin Barker, Oct 20 2014
STATUS
approved