cp's OEIS Frontend

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.

A046908 Number of irreducible posets with n labeled points.

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%I A046908 #18 Jul 09 2025 03:52:33
%S A046908 1,1,1,7,97,2251,80821,4305127,332273257,36630174931,5711638291981,
%T A046908 1249898984911567,381230073532620577,161042140788424003291,
%U A046908 93667063572594041040421,74610767840852891620692727,80997478506602342803118178457,119313601058907927882431190269731,237541348427311374857037021264415741
%N A046908 Number of irreducible posets with n labeled points.
%D A046908 J. A. Wright, There are 718 6-point topologies, quasi-orderings and transgraphs, Notices Amer. Math. Soc., 17 (1970), p. 646, Abstract #70T-A106.
%H A046908 G. Brinkmann,  B. D. McKay, <a href="http://dx.doi.org/10.1023/A:1016543307592">Posets on up to 16 Points</a>, Order 19 (2) (2002) 147-179 (Table III, up to 18 points)
%H A046908 J. A. Wright, <a href="/A000798/a000798_4.pdf">Letter to N. J. A. Sloane, Apr 06 1972, listing 18 sequences</a>
%H A046908 <a href="/index/Pos#posets">Index entries for sequences related to posets</a>
%F A046908 E.g.f.: A(x) = 2-1/B(x), where B(x) is e.g.f. of A001035. - _Vladeta Jovovic_, Jan 10 2006
%t A046908 A001035 = Cases[Import["https://oeis.org/A001035/b001035.txt", "Table"], {_, _}][[All, 2]]; lg = Length[A001035];
%t A046908 B[x_] = Sum[A001035[[n + 1]] x^n/n!, {n, 0, lg - 1}];
%t A046908 A[x_] = 2 - 1/B[x];
%t A046908 CoefficientList[A[x] + O[x]^lg, x]*Range[0, lg - 1]! (* _Jean-François Alcover_, Jan 01 2020 *)
%Y A046908 Cf. A046907.
%K A046908 nonn
%O A046908 0,4
%A A046908 John A. Wright
%E A046908 More terms from _Vladeta Jovovic_, Jan 10 2006
%E A046908 a(16)-a(18) from A001035 by _Jean-François Alcover_, Jan 01 2020