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A113359 Column 3 of triangle A113355, also equals column 0 of A113355^4. 4

%I #5 Jun 13 2017 23:05:12

%S 1,16,264,4912,104476,2531004,69265724,2122120824,72160283026,

%T 2702008172582,110631977612048,4922281897250776,236665779016591350,

%U 12236187035970192634,677311496213007409312,39980910968200568816168

%N Column 3 of triangle A113355, also equals column 0 of A113355^4.

%C A113355 equals the matrix square of A113350, where column 3 of A113350^2 = column 0 of A113350^8.

%o (PARI) a(n)=local(A,B);A=matrix(1,1);A[1,1]=1;for(m=2,n+4,B=matrix(m,m); for(i=1,m, for(j=1,i,if(i<3 || j==i || j>m-1,B[i,j]=1,if(j==1, B[i,1]=1,B[i,j]=(A^(2*j-1))[i-j+1,1]));));A=B); (matrix(#A,#A,r,c,if(r>=c,(A^(2*c))[r-c+1,1]))^2)[n+4,4]

%Y Cf. A113340, A113350, A113355, A113356 (column 0), A113357 (column 1), A113358 (column 2).

%K nonn

%O 0,2

%A _Paul D. Hanna_, Nov 08 2005

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)