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Search: id:A116854
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| A116854 |
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Triangle, row sums = factorial numbers. |
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+0
1
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| 1, 1, 1, 3, 1, 2, 11, 3, 4, 6, 53, 11, 14, 18, 24, 309, 53, 64, 78, 96, 120, 2119, 309, 362, 426, 504, 600, 720, 16687, 2119, 2428, 2790, 3216, 3720, 4320, 5040
(list; table; graph; listen)
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OFFSET
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1,4
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COMMENT
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Sums of rows are factorial numbers n! starting with n=1. Leftmost column of the triangle (1, 1, 3, 11, 53, 309...) = A000255, inverse binomial transform of the factorial numbers.
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FORMULA
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n-th row of the triangle is a difference row of n-th row of A116853
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1;
3, 1, 2;
11, 3, 4, 6;
53, 11, 14, 18, 24;
309, 53, 64, 78, 96, 120;
2119, 309, 362, 426, 504, 600, 720;
...
For example, row 4 (11, 3, 4, 6) is a difference row of row 4 of A006853: (11, 14, 18, 24).
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CROSSREFS
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Cf. A000255, A116853.
Sequence in context: A055450 A126226 A144156 this_sequence A016567 A109528 A136125
Adjacent sequences: A116851 A116852 A116853 this_sequence A116855 A116856 A116857
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KEYWORD
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nonn,uned,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 24 2006
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