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A145323
Numbers x such that there exists n in N : (x+1)^3-x^3=31*n^2.
1
22, 546817, 13288758862, 322943417329657, 7848170914656577702, 190726249245040733996497, 4635029301304809002926304542, 112640481889583219144074318995337, 2737388986245622090334485097298387382, 66524027031100626149725437690471091174177
OFFSET
1,1
FORMULA
a(n+2) = 24302*a(n+1)-a(n)+12150.
G.f.: x*(23*x^2-12151*x-22) / ((x-1)*(x^2-24302*x+1)). - Colin Barker, Oct 18 2014
EXAMPLE
a(1)=22 because the first relation is : 23^3-22^3=31*7^2.
MATHEMATICA
LinearRecurrence[{24303, -24303, 1}, {22, 546817, 13288758862}, 10] (* Paolo Xausa, Jan 17 2024 *)
PROG
(PARI) Vec(x*(23*x^2-12151*x-22) / ((x-1)*(x^2-24302*x+1)) + O(x^20)) \\ Colin Barker, Oct 18 2014
CROSSREFS
Sequence in context: A362902 A238635 A013770 * A267492 A013816 A104789
KEYWORD
nonn,easy
AUTHOR
Richard Choulet, Oct 07 2008
EXTENSIONS
Editing and more terms from Colin Barker, Oct 18 2014
STATUS
approved