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%I #12 Oct 29 2018 18:25:43
%S 1,1,2,1,4,5,1,6,23,15,1,8,53,173,52,1,10,95,619,1602,203,1,12,149,
%T 1497,8972,17575,877,1,14,215,2951,29362,155067,222497,4140,1,16,293,
%U 5125,72852,688439,3109269,3188806,21147,1,18,383,8163,152402,2152651,18766393,70893872,50988405,115975
%N Array of generalized Bell numbers, read by antidiagonals upwards.
%H Robert Gill, <a href="https://doi.org/10.1016/S0012-365X(97)00187-8">The number of elements in a generalized partition semilattice</a>, Discrete mathematics 186.1-3 (1998): 125-134. See Example 2. (Example 1, read by antidiagonals downwards, is A257565.)
%e The first few antidiagonals are:
%e 1,
%e 1,2,
%e 1,4,5,
%e 1,6,23,15,
%e 1,8,53,173,52,
%e 1,10,95,619,1602,203,
%e ...
%Y The first three rows are A000110, A075729, A109092.
%Y Cf. A257565.
%K nonn,tabl
%O 1,3
%A _N. J. A. Sloane_, Oct 26 2018
%E More terms from _Ilya Gutkovskiy_, Oct 29 2018
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