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A157614 29282*n^2+484*n+1. 3
29767, 118097, 264991, 470449, 734471, 1057057, 1438207, 1877921, 2376199, 2933041, 3548447, 4222417, 4954951, 5746049, 6595711, 7503937, 8470727, 9496081, 10579999, 11722481, 12923527, 14183137, 15501311, 16878049, 18313351 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Pell type equation: a(n)^2-A181679(n)*A157613(n)^2 = 1.

LINKS

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

Wolfram MathWorld, Pell Equation

EXAMPLE

a(1) = 29282*1^2+484*1+1 = 29767; a(3) = 29282*3^2+484*3+1 = 264991.

PROG

(MAGMA) a157614:=func< n | 29282*n^2+484*n+1 >; [ a157614(n): n in [1..30] ];

CROSSREFS

Cf. A181679 (121*n^2+2*n), A157613 (22*(121*n+1)).

Sequence in context: A204283 A206070 A056747 * A183852 A106771 A184502

Adjacent sequences:  A157611 A157612 A157613 * A157615 A157616 A157617

KEYWORD

nonn

AUTHOR

Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 03 2009

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Last modified February 15 12:59 EST 2012. Contains 205788 sequences.