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240, 1008, 2288, 4080, 6384, 9200, 12528, 16368, 20720, 25584, 30960, 36848, 43248, 50160, 57584, 65520, 73968, 82928, 92400, 102384, 112880, 123888, 135408, 147440, 159984, 173040, 186608, 200688, 215280, 230384, 246000, 262128, 278768, 295920
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (32*n^2-1)^2-(256*n^2-16)*(2*n)^2 = 1 can be written as A158563(n)^2 - a(n)*A005843(n)^2 =1.
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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.: 16*x*(-15-18*x+x^2)/(x-1)^3.
a(n)= 3*a(n-1) -3*a(n-2) +a(n-3).
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MATHEMATICA
| 16(16Range[40]^2-1) (* or *) LinearRecurrence[{3, -3, 1}, {240, 1008, 2288}, 40] (* From Harvey P. Dale, Sep 13 2011 *)
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PROG
| MAGMA) I:=[240, 1008, 2288]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+1*Self(n-3): n in [1..50]]; // Vincenzo Librandi, Feb 15 2012
(PARI) for(n=1, 50, print1(256*n^2-16", ")); \\ Vincenzo Librandi, Feb 15 2012
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CROSSREFS
| Cf. A005843, A158563.
Sequence in context: A060663 A092000 A124352 * A157766 A205264 A205257
Adjacent sequences: A158559 A158560 A158561 * A158563 A158564 A158565
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KEYWORD
| nonn,easy,changed
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 21 2009
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EXTENSIONS
| Comment rewritten - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 16 2009
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