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Search: id:A133326
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A133326 Numbers X such that 2*X^2+41 is a square. +0
1
2, 8, 20, 50, 118, 292, 688, 1702, 4010, 9920, 23372, 57818, 136222, 336988, 793960, 1964110, 4627538, 11447672, 26971268, 66721922, 157200070, 388883860, 916229152 (list; graph; listen)
OFFSET

1,1

COMMENT

a(24) > 2^31. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 15 2009]

FORMULA

The bisections modulo 2 satisfy the same recurrence relation a(n+2)=6*a(n+1)-a(n)

G.f.: 2*x*(x+1)*(x^2+3*x+1)/(x^2+2*x-1)/(x^2-2*x-1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007

CROSSREFS

Sequence in context: A066857 A146168 A058405 this_sequence A024997 A081157 A099177

Adjacent sequences: A133323 A133324 A133325 this_sequence A133327 A133328 A133329

KEYWORD

nonn,new

AUTHOR

R. Choulet (richardchoulet(AT)yahoo.fr), Oct 18 2007

EXTENSIONS

a(14)-a(23) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 15 2009

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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