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Eigentriangle, row sums = A006318
2

%I #6 Jul 19 2016 13:45:30

%S 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,

%T 66,90,394,4279,903,394,270,242,270,394,1806,20793,4279,1806,1182,990,

%U 990,1182,1806,8558,103049,20793,8558,5418,4334,4050,4334,5418,8558

%N Eigentriangle, row sums = A006318

%C Row sums = A006318. Left border = A001003.

%C Sum of n-th row terms = rightmost term of next row.

%F 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)

%e First few rows of the triangle =

%e 1;

%e 1, 1;

%e 3, 1, 2;

%e 11, 3, 2, 6;

%e 45, 11, 6, 6, 22;

%e 197, 45, 22, 18, 22, 90;

%e 903, 197, 90, 66, 66, 90, 394;

%e 4279, 903, 394, 270, 242, 270, 394, 1806;

%e ...

%e 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).

%Y Cf. A001003, A006318.

%K nonn,tabl

%O 0,4

%A _Gary W. Adamson_, Sep 12 2008