A144156 Eigentriangle, row sums = A006318.
1, 1, 1, 3, 1, 2, 11, 3, 2, 6, 45, 11, 6, 6, 22, 197, 45, 22, 18, 22, 90, 903, 197, 90, 66, 66, 90, 394, 4279, 903, 394, 270, 242, 270, 394, 1806, 20793, 4279, 1806, 1182, 990, 990, 1182, 1806, 8558, 103049, 20793, 8558, 5418, 4334, 4050, 4334, 5418, 8558
Offset: 0
Examples
First few rows of the triangle = 1; 1, 1; 3, 1, 2; 11, 3, 2, 6; 45, 11, 6, 6, 22; 197, 45, 22, 18, 22, 90; 903, 197, 90, 66, 66, 90, 394; 4279, 903, 394, 270, 242, 270, 394, 1806; ... Row = (11, 3, 2, 6) = termwise products of (11, 3, 1, 1) and (1, 1, 2, 6) = (11*1, 3*1, 1*2, 1*6).
Formula
Triangle read by rows, T(n,k) = A001003(n-k)*A006318(k-1) with A006318(-1)=1. (corrected by R. J. Mathar, Jul 19 2016)
Comments