A161196 Triangle read by rows generated from A007249, the convolution square root of A007191

1, -12, -12, 66, 144, 66, -232, -792, -792, -232, 639, 2784, 4356, 2784, 639, -1596, -7668, -15312, -15312, -7668, -1596, 3774, 19152, 42174, 53824, 42174, 19152, 3774, -8328, -45288, -105336, -146248, -146248, -105336, -45288, -8328, 17283

Offset

0,2

Comments

Row sums = A007191: (1, -24, 276, -2048, 11202,...)

Links

Table of n, a(n) for n=0..36.

Formula

Triangle read by rows, self-convolution of A007249. Begin with M = an infinite lower triangular Toeplitz matrix with A007249 as every column. Let Q = a matrix with A007249: (1, -12, 66, -232,..) as the right border and the rest zeros. Triangle A161196 = M * Q.

Example

First few rows of the triangle =
1;
-12, -12;
66, 144, 66;
-232, -792, -792, -232;
639, 2784, 4356, 2784, 639;
-1596, -7668, -15312, -15312, -7668, -1596;
3774, 19152, 42174, 53824, 42174, 19152, 3774;
-8328, -45288, -105336, -148248, -148248, -105336, -45288, -8328;
17283, 99936, 249084, 370272, 408321, 370272, 249084, 99936, 17283;
-34520, -207396, -549648, -875568, -1019844, -1019844, -875568, -549648, -207396, -34520;
...

Crossrefs

Cf. A007191, A007249

Sequence in context: A307842 A147833 A003877 * A328531 A111306 A151777

Adjacent sequences: A161193 A161194 A161195 * A161197 A161198 A161199

Keyword

tabl,sign

Author

Gary W. Adamson & Alexander R. Povolotsky, Jun 06 2009

Status

approved