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A128065
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Binomial transform of A128064.
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1
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1, 0, 2, -1, 2, 3, -2, 0, 6, 4, -3, -4, 6, 12, 5, -4, -10, 0, 20, 20, 6, -5, -18, -15, 20, 45, 30, 7, -6, -28, -42, 0, 70, 84, 42, 8, -7, -40, -84, -56, 70, 168, 140, 56, 9, -8, -54, -144, -168, 0, 252, 336, 216, 72, 10
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,3
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COMMENTS
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LINKS
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FORMULA
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EXAMPLE
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First few rows of the triangle are:
1;
0, 2;
-1, 2, 3;
-2, 0, 6, 4;
-3, -4, 6, 12, 5;
...
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MATHEMATICA
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Table[(k + 1) (Binomial[n, k] - Binomial[n, k + 1]), {n, 0,
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PROG
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(Magma) /* As triangle */ [[(k+1)*(Binomial(n, k)-Binomial(n, k+1)): k in [0..n]]: n in [0.. 15]]; // Vincenzo Librandi, Jul 12 2019
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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