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A102229 Column 1 of triangular matrix A102228, in which the first differences of row k forms row (k+1) of its matrix square-root (A102225). 3

%I #4 Mar 30 2012 18:36:44

%S 0,1,-2,-13,-34,-214,-1080,-17748,-210687,-12958931,-336158195,

%T -90749332418,-5514826306078,-6602085964032676,-1100107197850536319,

%U -5281354412162659396395,-2833757368893623973093411,-48664369321649964841252244730

%N Column 1 of triangular matrix A102228, in which the first differences of row k forms row (k+1) of its matrix square-root (A102225).

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

%Y Cf. A102225, A102226, A102227, A102228.

%K sign

%O 0,3

%A _Paul D. Hanna_, Jan 01 2005

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)