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 A174841 Determinant of the symmetric n X n matrix M_n where M_n(j,k) = n^abs(j-k). 1
 1, -3, 64, -3375, 331776, -52521875, 12230590464, -3938980639167, 1677721600000000, -913517247483640899, 619173642240000000000, -511324276025564512546607, 505488617542763051300683776 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES Jerry Glynn and Theodore Gray, The Beginner's Guide to Mathematica Version 4, Cambridge University Press, 2000, p. 76. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..76 FORMULA a(n) = (1-n^2)^(n-1). EXAMPLE a(4) = determinant(M_4) = -3375 where M_4 is the matrix [ 1  4 16 64] [ 4  1  4 16] [16  4  1  4] [64 16  4  1] MAPLE for n from 1 to 20 do: x:=(1-n^2)^(n-1):print(x):od: PROG (MAGMA) [ Determinant( SymmetricMatrix( &cat[ [ n^Abs(j-k): k in [1..j] ]: j in [1..n] ] ) ): n in [1..13] ]; // Klaus Brockhaus, Apr 16 2010 CROSSREFS Cf. A005249, A067689. Sequence in context: A289668 A119924 A231823 * A084883 A304288 A275044 Adjacent sequences:  A174838 A174839 A174840 * A174842 A174843 A174844 KEYWORD sign AUTHOR Michel Lagneau, Mar 30 2010 EXTENSIONS Edited by Klaus Brockhaus, Apr 16 2010 STATUS approved

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Last modified December 12 20:12 EST 2019. Contains 329961 sequences. (Running on oeis4.)