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182, 770, 1750, 3122, 4886, 7042, 9590, 12530, 15862, 19586, 23702, 28210, 33110, 38402, 44086, 50162, 56630, 63490, 70742, 78386, 86422, 94850, 103670, 112882, 122486, 132482, 142870, 153650, 164822, 176386, 188342, 200690, 213430, 226562
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OFFSET
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1,1
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COMMENTS
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The identity (28*n^2-1)^2-(196*n^2-14)*(2*n)^2 = 1 can be written as A158554(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 = 1..10000
Index to sequences with linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
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G.f.: 14*x*(13+16*x-x^2)/(1-x)^3.
a(n)= 3*a(n-1) -3*a(n-2) +a(n-3).
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MATHEMATICA
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LinearRecurrence[{3, -3, 1}, {182, 770, 1750}, 40] (* Vincenzo Librandi, Feb 14 2012 *)
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PROG
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(MAGMA) I:=[182, 770, 1750]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+Self(n-3): n in [1..50]]; // Vincenzo Librandi, Feb 14 2012
(PARI) for(n=1, 40, print1(196*n^2 - 14", ")); \\ Vincenzo Librandi, Feb 14 2012
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CROSSREFS
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Cf. A005843, A158554.
Sequence in context: A218563 A145297 A056091 * A015883 A043463 A047636
Adjacent sequences: A158550 A158551 A158552 * A158554 A158555 A158556
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi, Mar 21 2009
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EXTENSIONS
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Comment rewritten - R. J. Mathar, Oct 16 2009
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STATUS
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approved
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