This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A250107 #11 Mar 30 2020 04:19:27
%S A250107 1,0,10,20,140,616,3444,19440,117975,753500,5068492,35764092,
%T A250107 264044235,2034636800,16327586760,136180742640,1178372198220,
%U A250107 10561041814380,97889061389210,937053052507880,9252175434771885,94115781485796488,985250825472122200
%N A250107 Column 3 of triangle in A250104 (or A124323).
%H A250107 T. Mansour, A. O. Munagi, <a href="https://doi.org/10.1016/j.ejc.2014.06.008">Set partitions with circular successions</a>, European Journal of Combinatorics, 42 (2014), 207-216.
%p A250107 A250107 := proc(n)
%p A250107 A124323(n,3) ;
%p A250107 end proc:
%p A250107 seq(A250107(n),n=3..50) ; # _R. J. Mathar_, Jan 22 2015
%t A250107 t[0, 0] = 0; t[1, 0] = 1; t[1, 1] = 0;
%t A250107 t[n_, k_] := Binomial[n, k] ((-1)^(n-k) + Sum[(-1)^(j-1) BellB[n-k-j], {j, 1, n-k}]);
%t A250107 Table[t[n, 3], {n, 3, 25}] (* _Jean-François Alcover_, Mar 30 2020 *)
%Y A250107 Cf. A250104, A124323.
%K A250107 nonn
%O A250107 3,3
%A A250107 _N. J. A. Sloane_, Nov 16 2014