login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 2 23:51 EDT 2022. Contains 357230 sequences. (Running on oeis4.)