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Search: id:A058798
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%I A058798
%S A058798 0,1,2,5,18,85,492,3359,26380,234061,2314230,25222469,300355398,
%T A058798 3879397705,54011212472,806288789375,12846609417528,217586071308601,
%U A058798 3903702674137290,73952764737299909,1475151592071860890
%N A058798 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.
%C A058798 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.
%C A058798 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
%F A058798 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
%Y A058798 Column 1 of A007754. Cf. A073888, A073889.
%Y A058798 Sequence in context: A038720 A157312 A089412 this_sequence A122596 A020029 
               A020119
%Y A058798 Adjacent sequences: A058795 A058796 A058797 this_sequence A058799 A058800 
               A058801
%K A058798 nonn
%O A058798 0,3
%A A058798 Christian G. Bower (bowerc(AT)usa.net), Dec 02 2000
%E A058798 New description from Amarnath Murthy (amarnath_murthy(AT)yahoo.com), 
               Aug 17 2002

    
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Last modified December 5 17:24 EST 2009. Contains 170342 sequences.


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