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!)
A211141 Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n-1. 2

%I #10 Jul 16 2017 11:21:23

%S 0,33,52,156,240,492,472,1072,832,1612,1540,2408,1680,4144,2296,4064,

%T 4352,5900,3592,8236,4464,9544,7712,9168,6208,15984,8812,12232,11968,

%U 17504,9464,23712,10976,21772,17440,19960

%N Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n-1.

%C For a guide to related sequences, see A210000.

%H Chai Wah Wu, <a href="/A211141/b211141.txt">Table of n, a(n) for n = 0..3000</a>

%t a = -n; b = n; z1 = 35;

%t t[n_] := t[n] = Flatten[Table[w*z - x*y, {w, a, b}, {x, a, b}, {y, a, b}, {z, a, b}]]

%t c[n_, k_] := c[n, k] = Count[t[n], k]

%t Table[c[n, n - 1], {n, 0, z1}] (* A211141 *)

%Y Cf. A210000.

%K nonn

%O 0,2

%A _Clark Kimberling_, Apr 02 2012

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 April 16 18:00 EDT 2024. Contains 371750 sequences. (Running on oeis4.)