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Search: id:A106436
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| A106436 |
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Difference array of Bell numbers A000110 read by antidiagonals. |
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+0
3
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| 1, 0, 1, 1, 1, 2, 1, 2, 3, 5, 4, 5, 7, 10, 15, 11, 15, 20, 27, 37, 52, 41, 52, 67, 87, 114, 151, 203, 162, 203, 255, 322, 409, 523, 674, 877, 715, 877, 1080, 1335, 1657, 2066, 2589, 3263, 4140, 3425, 4140, 5017, 6097, 7432, 9089, 11155, 13744
(list; table; graph; listen)
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OFFSET
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0,6
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COMMENT
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Essentially Aitken's array A011971 with first column A000296.
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FORMULA
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Double-exponential generating function: sum_{n, k} a(n-k, k) x^n/n! y^k/k! = exp(exp{x+y}-1-x). a(n,k) = Sum_{i=k..n} (-1)^(n-i)*binomial(n-k,i-k)*Bell(i). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 14 2006
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EXAMPLE
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1; 0, 1; 1, 1, 2; 1, 2, 3, 5; 4, 5, 7, 10, 15; 11, 15, 20, 27, 37, 52; ...
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CROSSREFS
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Sequence in context: A059346 A076492 A127462 this_sequence A075758 A125596 A132405
Adjacent sequences: A106433 A106434 A106435 this_sequence A106437 A106438 A106439
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), May 29 2005
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