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A270138
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Continued fraction expansion of the constant 6/A270121(1)+Sum_{n>=2}1/A270121(n).
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0
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0, 1, 6, 2, 7, 32, 112, 10800, 403200, 17418254400, 1755760043520000
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OFFSET
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0,3
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COMMENTS
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A270121 is defined by the following recurrence: if A270121(n)=x(n) then x(n+1)*x(n-1)=x(n)^2*(1+n*x(n)) for n>=1, with x(1)=7, x(2)=112; and for A270124, if A270124(n)=y(n) then y(0)=2 and y(n)=x(n+1)/x(n) for n>=1. Both of these sequences appear in this continued fraction expansion, which defines a transcendental number.
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LINKS
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FORMULA
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EXAMPLE
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6/A270121(1)+Sum_{n>=2}1/A270121(n)=6/7+1/112+1/403200+1/1755760043520000+...
=[0;1,6,2,7,32,112,10800,403200,17418254400,...]
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CROSSREFS
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KEYWORD
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nonn,cofr
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AUTHOR
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STATUS
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approved
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