The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A111806 Riordan array (1/(1+3x+2x^2),x/(1+3x+2x^2)). 0

%I #6 Jan 04 2014 19:49:18

%S 1,-3,1,7,-6,1,-15,23,-9,1,31,-72,48,-12,1,-63,201,-198,82,-15,1,127,

%T -522,699,-420,125,-18,1,-255,1291,-2223,1795,-765,177,-21,1,511,

%U -3084,6562,-6768,3840,-1260,238,-24,1,-1023,7181,-18324,23276,-16758,7266,-1932,308,-27,1,2047,-16398,49029,-74616,65870

%N Riordan array (1/(1+3x+2x^2),x/(1+3x+2x^2)).

%C Signed version of A110441. Factors as (1/(1+x),x/(1+x))*((1-x)/(1+x),x(1-x)/(1+x)), or inverse binomial transform of A080246. Inverse of little Schroeder number array A110440. Row sums are A108520. Diagonal sums are (-1)^n*A001906(n+1).

%F T(n,k)=-3*T(n-1,k)+T(n-1,k-1)-2*T(n-2,k), T(0,0)=1, T(n,k)=0 if k<0 or if k>n. - _Philippe Deléham_, Jan 04 2013

%e Triangle starts

%e 1;

%e -3,1;

%e 7,-6,1;

%e -15,23,-9,1;

%e 31,-72,48,-12,1;

%K easy,sign,tabl

%O 0,2

%A _Paul Barry_, Aug 18 2005

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 June 1 04:51 EDT 2024. Contains 373010 sequences. (Running on oeis4.)