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A041084
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Numerators of continued fraction convergents to sqrt(50).
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1
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7, 99, 1393, 19601, 275807, 3880899, 54608393, 768398401, 10812186007, 152139002499, 2140758220993, 30122754096401, 423859315570607, 5964153172084899, 83922003724759193, 1180872205318713601
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Tanya Khovanova, Recursive Sequences
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FORMULA
| a(n)=14*a(n-1)+a(n-2), n>1 ; a(0)=7, a(1)=99 . G.f.: (7+x)/(1-14*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2008]
a(n)=(5/2)*sqrt(2)*{[7+5*sqrt(2)]^n-[7-5*sqrt(2)]^n}+(7/2)*{[7+5*sqrt(2)]^n+[7-5*sqrt(2)]^n}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Nov 28 2008]
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CROSSREFS
| Cf. A041085.
Sequence in context: A113134 A092818 A041087 * A115066 A123616 A001594
Adjacent sequences: A041081 A041082 A041083 * A041085 A041086 A041087
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KEYWORD
| nonn,cofr,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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