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A114052
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x such that x^2 - 27*y^2 = 1.
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0
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1, 26, 1351, 70226, 3650401, 189750626, 9863382151, 512706121226, 26650854921601, 1385331749802026, 72010600134783751, 3743165875258953026, 194572614913330773601, 10114032809617941274226, 525735133485219615486151
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| A Pellian equation (Pell's equation) - Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 03 2006
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LINKS
| Tanya Khovanova, Recursive Sequences
Author?, Title?
John Robertson, Home page.
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FORMULA
| a(0)=1, a(1)=26 then a(n)=52*a(n-1)-a(n-2) - Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 03 2006
G.f.:(1-26x)/(1-52x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 18 2008]
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PROG
| (PARI) g(n, k) = for(y=0, n, x=k*y^2+1; if(issquare(x), print1(floor(sqrt(x))", ")))
(PARI) a0=1; a1=26; for(n=2, 30, a2=52*a1-a0; a0=a1; a1=a2; print1(a2, ", ")) (Cloitre)
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CROSSREFS
| Sequence in context: A187463 A160311 A106710 * A042303 A042300 A080163
Adjacent sequences: A114049 A114050 A114051 * A114053 A114054 A114055
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KEYWORD
| easy,nonn
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AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Feb 01 2006
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EXTENSIONS
| More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 03 2006
More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Mar 17 2006
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