A113380 Column 1 of triangle A113378, also equals column 0 of A113389^4.

1, 12, 168, 3190, 80136, 2553162, 99579994, 4624245724, 250138459808, 15488221792442, 1082305443525010, 84364431201000877, 7264439969560330768, 685338322012632405151, 70341947440289270101707

Offset

0,2

Links

Table of n, a(n) for n=0..14.

Formula

A113378 equals the matrix cube of A113370, which has the property: column k of A113370^3 = column 0 of A113389^(3*k+1) for k>=0.

Prog

(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); (A^3)[n+2, 2]

Crossrefs

Cf. A113378, A113370, A113389, A113379 (column 0).

Sequence in context: A320761 A282045 A304960 * A071103 A012489 A027772

Adjacent sequences: A113377 A113378 A113379 * A113381 A113382 A113383

Keyword

nonn

Author

Paul D. Hanna, Nov 14 2005

Status

approved