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A160708
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Convolution triangle by rows, row sums = the Robbins sequence, A005130 starting with offset 1.
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3
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1, 1, 1, 3, 1, 3, 18, 3, 3, 18, 192, 18, 9, 18, 192, 3472, 192, 54, 54, 192, 3472, 104964, 3472, 576, 324, 576, 3472, 104964, 5606272, 104964, 10416, 3456, 3456, 10416, 104964, 5306272
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OFFSET
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1,4
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COMMENTS
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Row sums = the Robbins sequence A005130, starting with offset 1: (1, 2, 7, 42, 429,...).
Right and left borders = A160707, the convolution square root of A005130.
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LINKS
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FORMULA
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Let M = an infinite lower triangular Toeplitz matrix with A160707 in every column: (1, 1, 3, 18, 192, 5472,...); where A160707 = the convolution square root of the Robbins sequence: (1, 2, 7, 42, 429, 7436,...). Let Q = an infinite lower triangular matrix with (1, 1, 3, 18, 192,...) as the main diagonal and the rest zeros. Triangle A160708 = M * Q.
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EXAMPLE
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First few rows of the triangle =
1;
1, 1;
3, 1, 3;
18, 3, 3, 18;
192, 18, 9, 18, 192;
3472, 192, 54, 54, 192, 3472;
104964, 3472, 576, 324, 576, 3472, 104964;
5606272, 104964, 10416, 3456, 3456, 10416, 104964, 5306272;
...
Example: row 5 = (192, 18, 9, 18, 192) = (192, 18, 3, 1, 1) * (1, 1, 3, 18, 192); where A005130(5) = 429 = (192 + 18 + 9 + 18 + 192).
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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