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A212248
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Triangle by rows relating to the Rao Uppulari-Carpenter sequence A000587.
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0
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1, -1, 1, 0, -1, 0, 1, -1, 0, -1, 1, 1, 0, 1, -1, -2, 5, 0, 3, 1, 2, -9, 5, 0, 2, 4, -2, 9, -9, -21, 0, -15, 5, -10, -9, 9, 50, -105, 0, -62, -19, -18, -54, -9, -50, 267, -141, 0, -56, -119, 42, -126, -63, 50, -267
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table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,16
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COMMENTS
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Left border = A000587. Right border and row sums are variants by shifting and/or sign changes of A000587.
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LINKS
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FORMULA
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Triangle A213953 as an infinite lower triangular matrix * triangle A. Triangle A is composed of a diagonalized variant of the Rao Uppuluri-Carpenter sequence: (1, 1, 0, -1, -1, 2, 9, 9, -50, -267,...) as the main diagonal and the rest zeros.
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EXAMPLE
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First few rows of the triangle are:
1;
-1, 1;
0, -1, 0;
1, -1, 0, -1;
1, 1, 0, 1, -1;
-2, 5, 0, 3, 1, 2;
-9, 5, 0, 2, 4, -2, 9;
-9, -21, 0, -15, 5, -10, -9, 9
50, -105, 0, -62, -19, -18, -54, -9, -50;
267, -141, -301, -56, -119, 42, -126, -63, 50, -267;
413, 777, 0, 566, -226, 396, 180, -180, 400, 267, -413;
...
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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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