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 A158683 a(n) = 1024*n^2 - 32. 2
 992, 4064, 9184, 16352, 25568, 36832, 50144, 65504, 82912, 102368, 123872, 147424, 173024, 200672, 230368, 262112, 295904, 331744, 369632, 409568, 451552, 495584, 541664, 589792, 639968, 692192, 746464, 802784, 861152, 921568, 984032, 1048544 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The identity (64*n^2-1)^2-(1024*n^2-32)*(2*n)^2 = 1 can be written as A158684(n)^2-a(n)*A005843(n)^2 = 1. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..10000 Vincenzo Librandi, X^2-AY^2=1 Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA G.f.: 32*x*(-31-34*x+x^2)/(x-1)^3. a(n) = 3*a(n-1) -3*a(n-2) +a(n-3). MAPLE A158683:=n->1024*n^2-32: seq(A158683(n), n=1..50); # Wesley Ivan Hurt, Nov 20 2014 MATHEMATICA LinearRecurrence[{3, -3, 1}, {992, 4064, 9184}, 50] (* Vincenzo Librandi, Feb 19 2012 *) PROG (Magma) I:=[992, 4064, 9184]; [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 19 2012 (PARI) for(n=1, 40, print1(1024*n^2 - 32", ")); \\ Vincenzo Librandi, Feb 19 2012 CROSSREFS Cf. A005843, A158684. Sequence in context: A172698 A109149 A237991 * A030645 A010463 A183973 Adjacent sequences: A158680 A158681 A158682 * A158684 A158685 A158686 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Mar 24 2009 EXTENSIONS Comment rewritten and formula replaced by R. J. Mathar, Oct 22 2009 STATUS approved

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Last modified December 3 09:50 EST 2022. Contains 358517 sequences. (Running on oeis4.)