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A161196 Triangle read by rows generated from A007249, the convolution square root of A007191 3
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified November 28 01:24 EST 2021. Contains 349396 sequences. (Running on oeis4.)