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A161364
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Triangle read by rows, modified version of A161363; row sums = A000041
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4
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1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 4, 1, 0, 0, 0, 3, 2, 2, 0, 0, 0, 7, 2, 2, 0, 0, 0, 0, 7, 3, 2, 3, 0, 0, 0, 0, 12, 3, 4, 3, 0, 0, 0, 0, 0, 13, 5, 4, 3, 5, 0, 0, 0, 0, 0, 22, 6, 6, 3, 5, 0, 0, 0, 0, 0, 0, 2, 5, 7, 6, 6, 5, 7, 0, 0, 0, 0, 0, 0, 4, 9, 8, 6, 5, 7, 0, 0, 0, 0, 0, 0, 0
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Row sums = A000041, the partition numbers.
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FORMULA
| Given triangle A161363, (the inverse of partition triangle A026794); multiply by (-1), delete right border of 1's, and shift down 1 row inserting a "1" at T(0,0); = triangle M. Let Q = an infinite lower triangular matrix with A000041 as the right border and the rest zeros. Triangle A161364 = M * Q.
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EXAMPLE
| First few rows of the triangle =
1;
1, 0;
2, 0, 0;
2, 1, 0, 0;
4, 1, 0, 0, 0;
3, 2, 2, 0, 0, 0;
7, 2, 2, 0, 0, 0, 0;
7, 3, 2, 3, 0, 0, 0, 0;
12, 3, 4, 3, 0, 0, 0, 0, 0;
13, 5, 4, 3, 5, 0, 0, 0, 0, 0;
22, 6, 6, 3, 5, 0, 0, 0, 0, 0, 0;
25, 7, 6, 6, 5, 7, 0, 0, 0, 0, 0, 0;
42, 9, 8, 6, 5, 7, 0, 0, 0, 0, 0, 0, 0;
48, 13, 8, 9, 5, 7, 11, 0, 0, 0, 0, 0, 0, 0;
...
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CROSSREFS
| A161363, A000041
Sequence in context: A170976 A134109 A170978 * A143620 A025843 A178580
Adjacent sequences: A161361 A161362 A161363 * A161365 A161366 A161367
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 07 2009
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