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EXAMPLE
| This sequence can also be generated in the following manner.
Start a table with the all 1's sequence in row 0; from then on, row n+1 can be formed from row n by dropping the initial n-1 terms of row n and taking partial sums of the remaining terms to obtain row n+1.
The table below illustrates this method:
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...;
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, ...;
[1], 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, ...;
[3, 9], 19, 34, 55, 83, 119, 164, 219, 285, 363, 454, ...;
[19, 53, 108], 191, 310, 474, 693, 978, 1341, 1795, 2354, ...;
[191, 501, 975, 1668], 2646, 3987, 5782, 8136, 11169, 15017, ...;
[2646, 6633, 12415, 20551, 31720], 46737, 66570, 92358, ...; ...;
In the above table, drop the initial n-1 terms in row n (enclosed in square brackets) and then take partial sums to obtain row n+1 for n>=1;
this sequence then forms the first column of the resultant table.
Note: column k of the above table equals column 0 of matrix power T^(k+1) where T=A101479, for k>=0.
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