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Search: id:A161196
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| 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; listen)
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OFFSET
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0,2
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COMMENT
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Row sums = A007191: (1, -24, 276, -2048, 11202,...)
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FORMULA
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Triangle 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.
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EXAMPLE
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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;
...
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CROSSREFS
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Cf. A007191, A007249
Sequence in context: A119877 A147833 A003877 this_sequence A111306 A151777 A143478
Adjacent sequences: A161193 A161194 A161195 this_sequence A161197 A161198 A161199
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KEYWORD
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tabl,sign
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AUTHOR
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Gary W. Adamson & Alexander Povolotsky (qntmpkt(AT)yahoo.com), Jun 06 2009
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