Search: id:A123346
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%I A123346
%S A123346 1,2,1,5,3,2,15,10,7,5,52,37,27,20,15,203,151,114,87,67,52,877,674,523,
%T A123346 409,322,255,203,4140,3263,2589,2066,1657,1335,1080,877,21147,17007,
%U A123346 13744,11155,9089,7432,6097,5017,4140,115975,94828,77821,64077,52922
%N A123346 Mirror image of the Bell triangle A011971, which is also called the Pierce 
               triangle or Aitken's array.
%D A123346 D. E. Knuth, TAOCP, Vol. 4, Section 7.2.1.5.
%H A123346 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               BellTriangle.html">Bell Triangle</a>.
%F A123346 a(n,k) = Sum_{i=k..n} binomial(n-k,i-k)*Bell(i). - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Oct 14 2006
%e A123346 Triangle begins:
%e A123346 1
%e A123346 2 1
%e A123346 5 3 2
%e A123346 15 10 7 5
%e A123346 52 37 27 20 15
%e A123346 203 151 114 87 67 52
%Y A123346 Cf. A011971. Borders give Bell numbers A000110. Diagonals give A005493, 
               A011965, A011966, A011968, A011969, A046934, A011972, A094577, A095149, 
               A106436, A108041, A108042, A108043.
%Y A123346 Sequence in context: A067418 A067323 A106534 this_sequence A163840 A122833 
               A075303
%Y A123346 Adjacent sequences: A123343 A123344 A123345 this_sequence A123347 A123348 
               A123349
%K A123346 nonn,tabl
%O A123346 0,2
%A A123346 N. J. A. Sloane (njas(AT)research.att.com), Oct 14 2006
%E A123346 More terms from Alexander Adamchuk (alex(AT)kolmogorov.com) and Vladeta 
               Jovovic (vladeta(AT)eunet.rs), Oct 14 2006

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