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36, 1332, 5220, 11700, 20772, 32436, 46692, 63540, 82980, 105012, 129636, 156852, 186660, 219060, 254052, 291636, 331812, 374580, 419940, 467892, 518436, 571572, 627300, 685620, 746532, 810036, 876132, 944820, 1016100, 1089972, 1166436
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OFFSET
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0,1
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COMMENTS
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The identity (72*n^2+1)^2-(1296*n^2+36)*(2*n)^2 = 1 can be written as A158740(n)^2-a(n)*A005843(n)^2 = 1.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Vincenzo Librandi, X^2-AY^2=1
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
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G.f.: -36*(1+34*x+37*x^2)/(x-1)^3.
a(n) = 3*a(n-1) -3*a(n-2) +a(n-3).
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MAPLE
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A158739:=n->1296*n^2+36: seq(A158739(n), n=0..40); # Wesley Ivan Hurt, Nov 20 2014
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MATHEMATICA
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LinearRecurrence[{3, -3, 1}, {36, 1332, 5220}, 50] (* Vincenzo Librandi, Feb 21 2012 *)
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PROG
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(MAGMA) I:=[36, 1332, 5220]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+1*Self(n-3): n in [1..40]]; // Vincenzo Librandi, Feb 21 2012
(PARI) for(n=0, 40, print1(1296*n^2 + 36", ")); \\ Vincenzo Librandi, Feb 21 2012
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CROSSREFS
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Cf. A005843, A158740.
Sequence in context: A283729 A203333 A226772 * A218518 A099366 A095657
Adjacent sequences: A158736 A158737 A158738 * A158740 A158741 A158742
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi, Mar 25 2009
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EXTENSIONS
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Comment rewritten, a(0) added and formula replaced by R. J. Mathar, Oct 22 2009
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STATUS
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approved
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