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1406, 5738, 12958, 23066, 36062, 51946, 70718, 92378, 116926, 144362, 174686, 207898, 243998, 282986, 324862, 369626, 417278, 467818, 521246, 577562, 636766, 698858, 763838, 831706, 902462, 976106, 1052638, 1132058, 1214366, 1299562
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (76*n^2-1)^2 - (1444*n^2-38) * (2*n)^2 = 1 can be written as A158765(n)^2 - a(n)*A005843(n)^2 = 1.
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LINKS
| 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.: 38*x*(-37-40*x+x^2)/(x-1)^3.
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MATHEMATICA
| Table[38(38n^2-1), {n, 40}] (* or *) LinearRecurrence[{3, -3, 1}, {1406, 5738, 12958}, 40] (* From Harvey P. Dale, Jan 09 2012 *)
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CROSSREFS
| Cf. A005843, A158765.
Sequence in context: A206680 A022058 A107522 * A035863 A045127 A187957
Adjacent sequences: A158761 A158762 A158763 * A158765 A158766 A158767
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KEYWORD
| nonn,easy
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 26 2009
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EXTENSIONS
| Comment rewritten and formula replaced by R. J. Mathar, (mathar(AT)strw.leidenuniv.nl), Oct 22 2009
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