Search: id:A108078
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%I A108078
%S A108078 2,12,576,414720,7166361600,4334215495653800,125824009529730280000000,
%T A108078 230121443464257970000000000000000,
%U A108078 33669808618214310000000000000000000000000000
%N A108078 Determinant of a Hankel matrix with factorial elements.
%C A108078 The first term (n=1) is a degenerate case, a matrix with single element 
               2. This series involves products of binomial coefficients and is 
               related to the superfactorial function.
%D A108078 M. J. C. Gover, "The Explicit Inverse of Factorial Hankel Matrices", 
               Department of Mathematics, University of Bradford, 1993
%H A108078 IPJFACT, <a href="http://www.csit.fsu.edu/~burkardt/m_src/test_matrix/
               ipjfact.m">IPJFACT</a>.
%F A108078 (n+1)! * Product[((i+1)! * (n-i)!); i=1, n-1]
%o A108078 In MATLAB, the sequence is easily made by: for i=1:n det(gallery('ipjfact',
               i,0)) end or, more explicitly, by: d = 1; for i=1:n-1 d = d*factorial(i+1)*factorial(n-i); 
               end d = d*factorial(n+1);
%Y A108078 Cf. A000178, A002514, A024356, A056886, A056887.
%Y A108078 Sequence in context: A050643 A145513 A002860 this_sequence A052129 A141770 
               A060055
%Y A108078 Adjacent sequences: A108075 A108076 A108077 this_sequence A108079 A108080 
               A108081
%K A108078 easy,nonn
%O A108078 1,1
%A A108078 Paul M. Payton (paul.payton(AT)lmco.com), Jun 03 2005

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