

A174841


Determinant of the symmetric n X n matrix M_n where M_n(j,k) = n^abs(jk).


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) = (1n^2)^(n1).


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:=(1n^2)^(n1):print(x):od:


PROG

(MAGMA) [ Determinant( SymmetricMatrix( &cat[ [ n^Abs(jk): 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



