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A145678 a(n)=21*(21*n^2-1). +0
2
420, 1743, 3948, 7035, 11004, 15855, 21588, 28203, 35700, 44079, 53340, 63483, 74508, 86415, 99204, 112875, 127428, 142863, 159180, 176379, 194460, 213423, 233268, 253995, 275604, 298095, 321468, 345723, 370860, 396879, 423780, 451563 (list; graph; listen)
OFFSET

1,1

COMMENT

The identity (42*n^2-1)^2 - (441*n^2-21) * (2*n)^2 = 1 can be written

in Pell-type form as (A158626(n))^2 - a(n) * (A005843(n))^2 =1.

LINKS

Vincenzo Librandi, X^2-AY^2=1

Edward Everett Withford, Pell Equation

Wolfram MathWorld, Pell Equation

CROSSREFS

Cf. A005843, A158626

Sequence in context: A156687 A147775 A135196 this_sequence A160372 A061125 A166784

Adjacent sequences: A145675 A145676 A145677 this_sequence A145679 A145680 A145681

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 23 2009

EXTENSIONS

Comment rewritten - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 16 2009

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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