A152229 Eigentriangle, row sums = A000984

1, 1, 1, 3, 1, 2, 9, 3, 2, 6, 29, 9, 6, 6, 20, 97, 29, 18, 18, 20, 70, 333, 97, 58, 54, 60, 70, 252, 1165, 333, 194, 174, 180, 210, 252, 924, 4135, 1165, 666, 582, 580, 630, 756, 924, 3432, 14845, 4135, 2330, 1998, 1940, 2030, 2268, 2772, 3432, 12870

Offset

0,4

Comments

Row sums = A000984: (1, 2, 6, 20, 70, 252,...), left border = A081696.

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

Links

Table of n, a(n) for n=0..54.

Formula

Triangle read by rows, M*Q. M = an infinite lower triangular matrix with A081696: (1, 1, 3, 9, 29, 97, 333, 1165,...) in every column; and Q = a matrix with A000984 as the main diagonal (prefaced with a 1): (1, 1, 2, 6, 20, 70, 252,...) and the rest zeros.

Example

First few rows of the triangle =
1;
1, 1;
3, 1, 2;
9, 3, 2, 6;
29, 9, 6, 6, 20;
97, 29, 18, 18, 20, 70;
333, 97, 58, 54, 60, 70, 252;
1165, 333, 194, 174, 180, 210, 252, 924;
4135, 1165, 666, 582, 580, 630, 756, 924, 3432;
14845, 4135, 2330, 1998, 1940, 2030, 2268, 2772, 3432, 12870;
...
Row 3 = (9, 3, 2, 6) = termwise products of (9, 3, 1, 1) and (1, 1, 2, 6).

Crossrefs

Cf. A000984, A081696.

Sequence in context: A085194 A193789 A152252 * A238388 A074308 A237186

Adjacent sequences: A152226 A152227 A152228 * A152230 A152231 A152232

Keyword

nonn,tabl

Author

Gary W. Adamson, Nov 29 2008

Status

approved