login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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