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A058798
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a(1) = 0, a(2) = 1, a(n+1) = n*a(n) - a(n-1) or a(n) = {a(n-1) + a(n+1)}/n.
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5
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0, 1, 2, 5, 18, 85, 492, 3359, 26380, 234061, 2314230, 25222469, 300355398, 3879397705, 54011212472, 806288789375, 12846609417528, 217586071308601, 3903702674137290, 73952764737299909, 1475151592071860890
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| a(n) = log to the base 2 of the n-th term of A073888 = log to the base 3 of the n-th term of A073889.
a(n) equals minus the determinant of M(n+2) where M(n) is the n X n symmetric tridiagonal matrix with entries 1 just above and below its diagonal and diagonal entries 0, 1, 2, .., n-1. Example: M(4)=matrix([[0, 1, 0, 0], [1, 1, 1, 0], [0, 1, 2, 1], [0, 0, 1, 3]]). - Roland Bacher (Roland.Bacher(AT)ujf-grenoble.fr), Jun 19 2001
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FORMULA
| a(n) =(n+1)*a(n-1)-a(n-2) [with a(0)=1 and a(-1)=0] =A058797(n+1)+A058799(n-1) - Henry Bottomley (se16(AT)btinternet.com), Feb 28 2001
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CROSSREFS
| Column 1 of A007754. Cf. A073888, A073889.
Sequence in context: A157312 A175847 A089412 * A122596 A020029 A020119
Adjacent sequences: A058795 A058796 A058797 * A058799 A058800 A058801
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KEYWORD
| nonn
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net), Dec 02 2000
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EXTENSIONS
| New description from Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 17 2002
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