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Search: id:A079429
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| A079429 |
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a(0) = 2, a(1) = 3, a(2) = 5; a(n) = a(n-1) + [a(n-1)-a(n-2)] * [a(n-2)-a(n-3)]. |
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| 2, 3, 5, 7, 11, 19, 51, 307, 8499, 2105651, 17181974835, 36028814200938803, 618970019678718951650500915, 22300745198530623760505737951367313156481331, 13803492693581127574869511746854796103432841704846511061692361604079923
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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Conjecture: a(n)=A011455(n-2)+5 where defined. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 26 2007
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EXAMPLE
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a(3) = 7, since a(3) = a(2) + [(a(2)-a(1)) * (a(1)-a(0))] = 5 + ((5-3)*(3-2))
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MATHEMATICA
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a[0] = 2; a[1] = 3; a[2] = 5; a[n_] := a[n] = a[n - 1] + (a[n - 1] - a[n - 2])*(a[n - 2] - a[n - 3]); Table[a[n], {n, 0, 14}]
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CROSSREFS
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Adjacent sequences: A079426 A079427 A079428 this_sequence A079430 A079431 A079432
Sequence in context: A087769 A084736 A089472 this_sequence A072299 A038204 A075049
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KEYWORD
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nonn
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AUTHOR
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Ajay Chhabra (ajay(AT)cantab.net), Jan 08 2003
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EXTENSIONS
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Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 08 2002
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