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A154359 1250n^2 - 700n + 99. 4
99, 649, 3699, 9249, 17299, 27849, 40899, 56449, 74499, 95049, 118099, 143649, 171699, 202249, 235299, 270849, 308899, 349449, 392499, 438049, 486099, 536649, 589699, 645249, 703299, 763849, 826899, 892449, 960499, 1031049 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

The identity (1250n^2-700n+99)^2-(25n^2-14n+2)*(250n-70)^2=1 can be written as a(n)^2-A154357(n)*A154361(n)^2=1. See also the third comment in A154357.

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (3,-3,1).

FORMULA

G.f.: (99+352*x+2049*x^2)/(1-x)^3. - Bruno Berselli, Dec 13 2011

CROSSREFS

Sequence in context: A156757 A027579 A157659 * A185499 A061366 A177686

Adjacent sequences:  A154356 A154357 A154358 * A154360 A154361 A154362

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 08 2009

EXTENSIONS

Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Jul 29 2010

Librandi's comment rewritten from Bruno Berselli, Dec 13 2011

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Last modified February 14 16:29 EST 2012. Contains 205635 sequences.