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A074046 a(n)=a(n-1)*a(n-2)*a(n-3)*(1/a(n-1)+1/a(n-2)+1/a(n-3)) starting with a(1)=a(2)=1 and a(3)=2. 3
1, 1, 2, 5, 17, 129, 2923, 428951, 1309535519, 565555596556379, 740857737860237412264699, 418997210078479016314891376985981834403, 310417325465458849274468827944195726858840449351291150876911355 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..13.

FORMULA

a(n) tends towards a(n-1)^phi and 1.31809...^(phi^n) where phi=(1+sqrt(5))/2=1.6180339887...

a(n)=a(n-1)*a(n-2)+a(n-3)*a(n-1)+a(n-2)*a(n-3). - M. F. Hasler, Jan 01 2013

EXAMPLE

a(6)=17*5*2*(1/17+1/5+1/2)=129.

CROSSREFS

Cf. A074047. In more than one sense A074046 comes between A000045 and A057438.

See also A121810 and A203761 and references therein.

Sequence in context: A174168 A097980 A210525 * A123374 A067339 A096848

Adjacent sequences:  A074043 A074044 A074045 * A074047 A074048 A074049

KEYWORD

nonn

AUTHOR

Henry Bottomley, Aug 14 2002

STATUS

approved

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Last modified October 21 08:16 EDT 2019. Contains 328292 sequences. (Running on oeis4.)