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A113128
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A simple 4-diagonal matrix based on (1+x)^3.
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1
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1, 3, 2, 3, 6, 3, 1, 6, 9, 4, 0, 2, 9, 12, 5, 0, 0, 3, 12, 15, 6, 0, 0, 0, 4, 15, 18, 7, 0, 0, 0, 0, 5, 18, 21, 8, 0, 0, 0, 0, 0, 6, 21, 24, 9, 0, 0, 0, 0, 0, 0, 7, 24, 27, 10, 0, 0, 0, 0, 0, 0, 0, 8, 27, 30, 11, 0, 0, 0, 0, 0, 0, 0, 0, 9, 30, 33, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 33, 36, 13, 0, 0, 0, 0
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row sums are A086570. Diagonal sums are the odd numbers A005408.
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FORMULA
| Number triangle where column k has g.f. (1+x)^3*(k+1)x^k.
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EXAMPLE
| Triangle begins
1;
3, 2;
3, 6, 3;
1, 6, 9, 4;
0, 2, 9, 12, 5;
0, 0, 3, 12, 15, 6;
0, 0, 0, 4, 15, 18, 7;
0, 0, 0, 0, 5, 18, 21, 8;
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CROSSREFS
| Sequence in context: A051701 A134945 A021313 * A130459 A144216 A127938
Adjacent sequences: A113125 A113126 A113127 * A113129 A113130 A113131
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Oct 14 2005
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