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A101180 Numbers n such that 19*n^2 + 19*n + 1 is a square. 1
0, 8, 671, 15639, 42159, 981911, 77624048, 1807894920, 4873553880, 113507005568, 8973184757831, 208989037004319, 563373081435879, 13121182828725551, 1037282211558181688, 24158714697817430640, 65124801462951244560 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Define a(1)=0, a(2)=8, a(3)=671, a(4)=15639, a(5)=42159, a(6)=981911, the first 6 terms found for the sequence then a(7)=57799*(2*a(3)+1)-a(2)-1, a(8)=57799*(2*a(4)+1)-a(1)-1 for n>8 a(n)=57799*(2*a(n-4)+1)-a(n-8)-1 remark:57799 = 38*39*39+1 =2*19*(39^2)+1

CROSSREFS

Cf. A105839.

Sequence in context: A015106 A099126 A172919 * A128875 A199801 A202910

Adjacent sequences:  A101177 A101178 A101179 * A101181 A101182 A101183

KEYWORD

nonn

AUTHOR

Pierre CAMI (pierre-cami(AT)bbox.fr), Apr 06 2005, Apr 22 2005

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 29 2008 at the suggestion of R. J. Mathar

More terms (using recursive formula in comment) from Jon E. Schoenfield (jonscho(AT)hiwaay.net), Jul 10 2010

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Last modified February 16 21:49 EST 2012. Contains 205978 sequences.