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1, 75, 297, 667, 1185, 1851, 2665, 3627, 4737, 5995, 7401, 8955, 10657, 12507, 14505, 16651, 18945, 21387, 23977, 26715, 29601, 32635, 35817, 39147, 42625, 46251, 50025, 53947, 58017, 62235, 66601, 71115, 75777, 80587, 85545, 90651, 95905
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The identity (74*n^2+1)^2 - (1369*n^2+37) * (2*n)^2 = 1 can be written as
the Pell equation (a(n))^2 - A158741(n) * (A005843(n))^2 = 1.
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LINKS
| Wolfram MathWorld, Pell Equation
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
| a(n)= 3*a(n-1) -3*a(n-2) +a(n-3). G.f.: -(1+72*x+75*x^2)/(x-1)^3.
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CROSSREFS
| Cf. A005843, A158741
Sequence in context: A201916 A098230 A174685 * A158765 A055561 A193252
Adjacent sequences: A158739 A158740 A158741 * A158743 A158744 A158745
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KEYWORD
| nonn,easy
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tn.it), Mar 25 2009
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EXTENSIONS
| Comment rewritten, a(0) added and formula replaced by R. J. Mathar, (mathar(AT)strw.leidenuniv.nl), Oct 22 2009
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