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 A106436 Difference array of Bell numbers A000110 read by antidiagonals. 11
 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; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS Essentially Aitken's array A011971 with first column A000296. REFERENCES Jocelyn Quaintance and Harris Kwong, A combinatorial interpretation of the Catalan and Bell number difference tables, Integers, 13 (2013), #A29. LINKS FORMULA 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, Oct 14 2006 EXAMPLE 1; 0,   1; 1,   1,  2; 1,   2,  3,  5; 4,   5,  7, 10, 15; 11, 15, 20, 27, 37, 52; ... CROSSREFS Cf. A000110. Diagonals give A005493, A011965-A011967, A191099, A000298, A011968-A011970. Sequence in context: A274491 A076492 A127462 * A075758 A125596 A253026 Adjacent sequences:  A106433 A106434 A106435 * A106437 A106438 A106439 KEYWORD nonn,easy,tabl AUTHOR Philippe Deléham, May 29 2005 STATUS approved

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Last modified August 16 19:58 EDT 2018. Contains 313809 sequences. (Running on oeis4.)