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A152229 Eigentriangle, row sums = A000984 2
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 15 05:56 EDT 2018. Contains 316202 sequences. (Running on oeis4.)