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!)
A167018 Column 2 of triangle T=A167015: a(n) = T(n+2,2) = [T^(n+2)](n-1,0) for n>0 with a(0)=1. 4

%I #2 Mar 30 2012 18:37:20

%S 1,1,4,20,149,1491,18612,275856,4699180,89993827,1907644760,

%T 44253266889,1113845999245,30214252304871,878483783958444,

%U 27252652393849400,898540310823301994,31378570076570865074,1157108876622296079054

%N Column 2 of triangle T=A167015: a(n) = T(n+2,2) = [T^(n+2)](n-1,0) for n>0 with a(0)=1.

%C In triangle T=A167015, row n of T equals the initial n terms in column 0 of matrix power T^n, reversed and with an appended '1'.

%o (PARI) {A167015(n,k)=local(M,N);if(n==k|n==k+1,1,if(n==k+2,k+2, N=matrix(n,n,r,c,if(r>=c,A167015(r-1,c-1))); M=matrix(n+1,n+1,r,c,if(r>=c,if(r<=n,N[r,c],(N^n)[n-k,1])));M[n+1,k+1]))}

%o (PARI) {a(n)=A167015(n+2,2)}

%Y Cf. A167015, A167016, A167017, A167019.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Oct 27 2009

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 16 18:41 EDT 2024. Contains 373432 sequences. (Running on oeis4.)