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!)
A109317 Column 0 of triangle T=A109316 where T(n,k) = [T^2](n-1,k) + [T^2](n-2,k-1) and T^2 is the matrix square of T. 3

%I #5 Mar 30 2012 18:36:49

%S 1,1,2,6,22,94,446,2294,12542,71974,429342,2643606,16710382,107980870,

%T 710933118,4756345750,32265548622,221540438502,1537355395934,

%U 10768777480374,76063545106670,541277072787334,3877624448977150

%N Column 0 of triangle T=A109316 where T(n,k) = [T^2](n-1,k) + [T^2](n-2,k-1) and T^2 is the matrix square of T.

%o (PARI) {a(n)=local(A=Mat(1),B);for(m=1,n+1,B=matrix(m,m); for(i=1,m, for(j=1,i,if(j==i,B[i,j]=1,if(i==2,B[i,j]=1, B[i,j]=(A^2)[i-1,j]+if(j>1,(A^2)[i-2,j-1])));));A=B); return(A[n+1,1])}

%Y Cf. A109316 (triangle), A109318 (column 1), A109319 (row sums), A000108.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Jul 07 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 May 27 10:04 EDT 2024. Contains 372858 sequences. (Running on oeis4.)