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!)
A209979 Number of unimodular 2 X 2 matrices having all elements in {1,2,...,n}. 3

%I #14 May 05 2020 17:09:33

%S 0,0,4,16,28,56,68,112,140,184,212,288,316,408,452,512,572,696,740,

%T 880,940,1032,1108,1280,1340,1496,1588,1728,1820,2040,2100,2336,2460,

%U 2616,2740,2928,3020,3304,3444,3632,3756,4072,4164,4496,4652,4840

%N Number of unimodular 2 X 2 matrices having all elements in {1,2,...,n}.

%C Equivalently, the number of 2 X 2 matrices having all elements in {1,2,...,n} and having an inverse whose elements are all integers.

%C See A210000 for a guide to related sequences.

%H Andrew Howroyd, <a href="/A209979/b209979.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = 2*A196227(n) = 4*A209978(n). - _Andrew Howroyd_, May 05 2020

%t (See the Mathematica section at A210000.)

%Y Cf. A196227, A209978, A210000.

%K nonn

%O 0,3

%A _Clark Kimberling_, Mar 16 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 May 11 22:00 EDT 2024. Contains 372431 sequences. (Running on oeis4.)