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Search: id:A076571
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| A076571 |
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Binomial triangle based on factorials. |
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+0
2
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| 1, 1, 2, 2, 3, 5, 6, 8, 11, 16, 24, 30, 38, 49, 65, 120, 144, 174, 212, 261, 326, 720, 840, 984, 1158, 1370, 1631, 1957, 5040, 5760, 6600, 7584, 8742, 10112, 11743, 13700, 40320, 45360, 51120, 57720, 65304, 74046, 84158, 95901, 109601, 362880, 403200
(list; table; graph; listen)
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OFFSET
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0,3
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LINKS
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D. Dumont, Matrices d'Euler-Seidel, Sem. Loth. Comb. B05c (1981) 59-78.
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FORMULA
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T(n, k) =Sum_i{0<=i<=k}C(k, i)*(n-i)! =T(n, k-1)+T(n-1, k-1) with T(n, 0)=n!.
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EXAMPLE
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Rows start: 1; 1,2; 2,3,5; 6,8,11,16; 24,30,38,49,65; 120,144,174,212,261,326; etc.
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CROSSREFS
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Columns include A000142, A001048, A001344, A001345, A001346, A001347. Right hand columns include A000522, A001339, A001340, A001341, A001342. Rows sums are A002627 (offset).
Sequence in context: A052337 A121081 A118399 this_sequence A084783 A129838 A032153
Adjacent sequences: A076568 A076569 A076570 this_sequence A076572 A076573 A076574
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KEYWORD
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nonn,tabl
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Oct 19 2002
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