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A132108
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Triangle T(n,k) = binomial(n,k)+n-k read by rows.
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2
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1, 2, 1, 3, 3, 1, 4, 5, 4, 1, 5, 7, 8, 5, 1, 6, 9, 13, 12, 6, 1, 7, 11, 19, 23, 17, 7, 1, 8, 13, 26, 39, 38, 23, 8, 1, 9, 15, 34, 61, 74, 59, 30, 9, 1, 10, 17, 43, 90, 131, 130, 87, 38, 10, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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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;
2, 1;
3, 3, 1;
4, 5, 4, 1;
5, 7, 8, 5, 1;
6, 9, 13, 12, 6, 1;
7, 11, 19, 23, 17, 7, 1;
...
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MATHEMATICA
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Table[Binomial[n, k]+n-k, {n, 0, 10}, {k, 0, n}]//Flatten (* Harvey P. Dale, Mar 08 2018 *)
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PROG
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(Magma) /* As triangle: */ [[Binomial(n, k)+n-k: k in [0..n]]: n in [0.. 15]]; // Vincenzo Librandi, May 23 2016
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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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