A113386 Column 1 of triangle A113384, also equals column 0 of A113381^5.

1, 10, 130, 2365, 57695, 1798275, 68931064, 3155772612, 168671241316, 10336797449013, 715846906453760, 55355481111622706, 4732541017570608210, 443593124488673026361, 45261577596891190335258

Offset: 0

Author

Paul D. Hanna, Nov 14 2005

Keywords

• nonn

Crossrefs

Cf. A113381, A113384, A113385 (column 0).

Programs

PARI

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

Formula

A113384 equals the matrix square of A113381, which has the property: column k of A113381^2 = column 0 of A113381^(3*k+2) for k>=0.