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56, 248, 568, 1016, 1592, 2296, 3128, 4088, 5176, 6392, 7736, 9208, 10808, 12536, 14392, 16376, 18488, 20728, 23096, 25592, 28216, 30968, 33848, 36856, 39992, 43256, 46648, 50168, 53816, 57592, 61496, 65528, 69688, 73976, 78392, 82936
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (16*n^2-1)^2-(64*n^2-8)*(2*n)^2 = 1 can be written as A141759(n)^2-a(n)*A005843(n)^2 = 1. - Vincenzo Librandi, Feb 09 2012
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LINKS
| 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
| G.f.: -8*x*(7 + 10*x - x^2)/(x - 1)^3. - Vincenzo Librandi, Feb 09 2012
a(n) = 3*a(n-1) -3*a(n-2) +a(n-3). - Vincenzo Librandi, Feb 09 2012
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MATHEMATICA
| LinearRecurrence[{3, -3, 1}, {56, 248, 568}, 50] (* Vincenzo Librandi, Feb 09 2012 *)
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PROG
| (MAGMA) I:=[56, 248, 568]; [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 09 2012
(PARI) for(n=1, 40, print1(64*n^2 - 8", ")); \\ Vincenzo Librandi, Feb 09 2012
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CROSSREFS
| Cf. A005843, A141759.
Sequence in context: A158481 A193428 A179757 * A205235 A205228 A110554
Adjacent sequences: A158484 A158485 A158486 * A158488 A158489 A158490
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KEYWORD
| nonn,easy,changed
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 20 2009
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