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 A006334 M2179 #32 Aug 02 2024 22:38:39 %S A006334 0,2,110,2002,20020,136136,705432,2984520,10786908,34370050,98768670, %T A006334 260390130,638110200,1468635168,3200871520,6650874912,13248113736, %U A006334 25415833170,47143878782,84832157410,148507792972,253549890440,423093671000,691331713800,1107985378500 %N A006334 From the enumeration of corners. %D A006334 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %H A006334 T. D. Noe, <a href="/A006334/b006334.txt">Table of n, a(n) for n = 0..1000</a> %H A006334 G. Kreweras, <a href="http://www.numdam.org/numdam-bin/item?id=BURO_1965__6__9_0">Sur une classe de problèmes de dénombrement liés au treillis des partitions des entiers</a>, Cahiers du Bureau Universitaire de Recherche Opérationnelle, Institut de Statistique, Université de Paris, 6 (1965), circa p. 82. %H A006334 <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1). %F A006334 a(n) = (n*(1 + n)^2*(2 + n)^2*(3 + n)^2*(4 + n)*(1 + 2*n)*(3 + 2*n)*(5 + 2*n)*(7 + 2*n))/1360800. %F A006334 G.f.: -2*x*(x+1)*(x^6 + 41*x^5 + 323*x^4 + 678*x^3 + 323*x^2 + 41*x + 1)/(x-1)^13. - _Colin Barker_, Sep 19 2012 %t A006334 Abs@ With[{n = 5}, Table[(2 (-1)^(n + k) (n + k - 1)! (2 n + 2 k - 3)!)/(n! k! (2 n - 1)! (2 k - 1)!), {k, 0, 24}]] (* _Michael De Vlieger_, Mar 26 2016 *) %t A006334 LinearRecurrence[{13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1},{0,2,110,2002,20020,136136,705432,2984520,10786908,34370050,98768670,260390130,638110200},30] (* _Harvey P. Dale_, Apr 21 2016 *) %Y A006334 A row of A132339. %K A006334 nonn,easy %O A006334 0,2 %A A006334 _N. J. A. Sloane_