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Search: id:A088874
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| A088874 |
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Triangle read by rows, given by [0, 2, 6, 12, 20, 30, 42, 56, ...] DELTA [1, 2, 3, 4, 5, 6, 7, 8, ...] where Delta is the operator defined in A084938. |
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+0 3
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| 1, 0, 1, 0, 2, 3, 0, 16, 30, 15, 0, 272, 588, 420, 105, 0, 7936, 18960, 16380, 6300, 945, 0, 353792, 911328, 893640, 429660, 103950, 10395, 0, 22368256, 61152000, 65825760, 36636600, 11351340, 1891890, 135135, 0, 1903757312
(list; table; graph; listen)
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OFFSET
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0,5
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REFERENCES
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Ghislain R. Franssens, On a Number Pyramid Related to the Binomial, Deleham, Eulerian, MacMahon and Stirling number triangles, Journal of Integer Sequences, Vol. 9 (2006), Article 06.4.1.
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FORMULA
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T(n, k) = A085734(n-1, k-1) for n>0 and k>0.
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EXAMPLE
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{1}; {0, 1}; {0, 2, 3}; {0, 16, 30, 15}; {0, 272, 588, 420, 105}
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CROSSREFS
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Another version of the triangle A085734.
Diagonals give : A000007 A000182 A001147, Row sums A000364.
Sequence in context: A085042 A096542 A009206 this_sequence A002634 A070078 A054438
Adjacent sequences: A088871 A088872 A088873 this_sequence A088875 A088876 A088877
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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DELEHAM Philippe ( kolotoko(AT)wanadoo.fr), Nov 26 2003
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