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Search: id:A071579
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| 1, 4, 56, 10864, 408855776, 579069776145402304, 1161588808526051807570761628582646656, 4674072680304961790168962360144614650442718636276775741658113370728376064
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Contribution from Cino Hilliard (hillcino368(AT)hotmail.com), Sep 28 2008: (Start)
Also the denominators of the convergents to sqrt(3) using Newton's recursion
x = (3/x+x)/2. (End)
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LINKS
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Eric Weisstein's World of Mathematics, Newton's Iteration
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FORMULA
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a(n) = 2*a(n-1)*(6*a(n-2)^2+1) - Max Alekseyev (maxale(AT)gmail.com), Apr 19 2006
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PROGRAM
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Contribution from Cino Hilliard (hillcino368(AT)hotmail.com), Sep 28 2008: (Start)
(PARI) g(n, p) = x=1; for(j=1, p, x=(n/x+x)/2; print1(denominator(x)", "))
g(3, 8) (End)
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CROSSREFS
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Cf. A002812. a(n) = A001353(2^n).
Sequence in context: A056075 A000315 A080984 this_sequence A060497 A092273 A156873
Adjacent sequences: A071576 A071577 A071578 this_sequence A071580 A071581 A071582
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KEYWORD
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nonn
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AUTHOR
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Joe Keane (jgk(AT)jgk.org), May 31 2002
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