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Search: id:A158676
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| 1, 63, 249, 559, 993, 1551, 2233, 3039, 3969, 5023, 6201, 7503, 8929, 10479, 12153, 13951, 15873, 17919, 20089, 22383, 24801, 27343, 30009, 32799, 35713, 38751, 41913, 45199, 48609, 52143, 55801, 59583, 63489, 67519, 71673, 75951, 80353
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The identity (62*n^2+1)^2 - (961*n^2+31) * (2*n)^2 = 1 can be written as
the Pell equation (a(n))^2 - A158675(n) * (A005843(n))^2 = 1.
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LINKS
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Vincenzo Librandi, X^2-AY^2=1
Edward Everett Withford, Pell Equation
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)= 3*a(n-1) -3*a(n-2) +a(n-3). G.f.: -(1+60*x+63*x^2)/(x-1)^3.
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CROSSREFS
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Cf. A005843, A158676
Sequence in context: A097973 A038644 A083079 this_sequence A157948 A158684 A063398
Adjacent sequences: A158673 A158674 A158675 this_sequence A158677 A158678 A158679
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 24 2009
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EXTENSIONS
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Comment rewritten, a(0) added and formula replaced by R. J. Mathar, (mathar(AT)strw.leidenuniv.nl), Oct 22 2009
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