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

0,4

Comments

Row sums = A006318. Left border = A001003.

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

Links

Table of n, a(n) for n=0..53.

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)

Example

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).

Crossrefs

Cf. A001003, A006318.

Sequence in context: A229187 A126226 A307665 * A116854 A331692 A016567

Adjacent sequences: A144153 A144154 A144155 * A144157 A144158 A144159

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 12 2008

Status

approved