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34, 140, 318, 568, 890, 1284, 1750, 2288, 2898, 3580, 4334, 5160, 6058, 7028, 8070, 9184, 10370, 11628, 12958, 14360, 15834, 17380, 18998, 20688, 22450, 24284, 26190, 28168, 30218, 32340, 34534, 36800, 39138, 41548, 44030, 46584, 49210, 51908
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (36*n-1)^2-(36*n^2-2*n)*6^2 = 1 can be written as (A044102(n+1)-1)^2-a(n)*6^2 = 1. - Vincenzo Librandi, Feb 11 2012
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..10000
E. J. Barbeau, Polynomial Excursions, Chapter 10: Diophantine equations (2010), pages 84-85 (row 15 in the first table at p. 85, case d(t) = t*(6^2*t-2)).
Index to sequences with linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
| G.f.: x*(-34-38*x)/(x-1)^3. - Vincenzo Librandi, Feb 11 2012
a(n) = 3*a(n-1) -3*a(n-2) +a(n-3). - Vincenzo Librandi, Feb 11 2012
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MATHEMATICA
| LinearRecurrence[{3, -3, 1}, {34, 140, 318}, 50] (* Vincenzo Librandi, Feb 11 2012 *)
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PROG
| (MAGMA)[36*n^2 - 2*n: n in [1..50]]
(PARI) for(n=1, 50, print1(36*n^2 - 2*n ", ")); \\ Vincenzo Librandi, Feb 11 2012
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CROSSREFS
| Cf. A044102.
Sequence in context: A044366 A044747 A172001 * A141127 A153465 A105714
Adjacent sequences: A158059 A158060 A158061 * A158063 A158064 A158065
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KEYWORD
| nonn,easy,changed
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009
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