Search: id:A106436 Results 1-1 of 1 results found. %I A106436 %S A106436 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, %T A106436 151,203,162,203,255,322,409,523,674,877,715,877,1080,1335,1657, %U A106436 2066,2589,3263,4140,3425,4140,5017,6097,7432,9089,11155,13744 %N A106436 Difference array of Bell numbers A000110 read by antidiagonals. %C A106436 Essentially Aitken's array A011971 with first column A000296. %F A106436 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 %e A106436 1; 0, 1; 1, 1, 2; 1, 2, 3, 5; 4, 5, 7, 10, 15; 11, 15, 20, 27, 37, 52; ... %Y A106436 Sequence in context: A059346 A076492 A127462 this_sequence A075758 A125596 A132405 %Y A106436 Adjacent sequences: A106433 A106434 A106435 this_sequence A106437 A106438 A106439 %K A106436 nonn,easy,tabl %O A106436 0,6 %A A106436 Philippe DELEHAM (kolotoko(AT)wanadoo.fr), May 29 2005 Search completed in 0.001 seconds