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Search: id:A084950
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| 1, 1, 2, 1, 6, 4, 24, 18, 1, 120, 96, 9, 720, 600, 72, 1, 5040, 4320, 600, 16, 40320, 35280, 5400, 200, 1, 362880, 322560, 52920, 2400, 25, 3628800, 3265920, 564480, 29400, 450, 1
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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Given a flush left array, (r, c) of row (n+1) = (n+1)*(r-1, c) + (r-2, c-1); (i.e. multiply each term of n-th row by (n+1) and add the first term on the NW diagonal; getting the terms in row n+1.
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EXAMPLE
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By rows, the triangle is:
0. 1
1. 1
2. 2 1
3. 6 4
4. 24 18 1
5. 120 96 9
6. 720 600 72 1
7. 5040 4320 600 16
...
E.g. to get the terms of row 7, multiply each term of row 6 by 7, then add the term NW of term in row 6: 5040 = (7)(720); 4320 = (7)(600) + 20; 600 = (7)(72) + 96; 16 = (7)(1) + 9. Thus row 7 = 5040 4320 600 16 with a sum of 9976 = a(7) of A001040.
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CROSSREFS
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Cf. A001040.
Sequence in context: A121403 A005299 A128728 this_sequence A066654 A145960 A108767
Adjacent sequences: A084947 A084948 A084949 this_sequence A084951 A084952 A084953
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KEYWORD
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tabf,nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 14 2003
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