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 A144841 #14 Aug 21 2025 03:31:26 %S A144841 1,1,2,11,41,121,316,757,1961,6281,22166,74031,221937,596961,1460096, %T A144841 3294761,6945521,13818417,26161386,47446611,82880281,140069161, %U A144841 229877572,367512861,573882201,877268601,1315379326,1937825527,2809097761,4012108241,5652377096,7862946641,10810114657,14700084961,19786641106 %N A144841 a(n) = 280*C(n,9)+10*C(n,6)+6*C(n,4)+C(n,3)+1 where C = binomial. %C A144841 Conjectured values for maximal number of regions obtained by joining each triple of n points on a 3 dimensional sphere by a plane. %C A144841 This is the first step in the generalization of the maximal number of regions obtained by joining n points around a circle by straight lines. See A000127. %F A144841 G.f.: x*(1-9*x+37*x^2-84*x^3+111*x^4-76*x^5+9*x^6+18*x^7+274*x^8-x^9)/(1-x)^10. - _Colin Barker_, Feb 15 2012 %o A144841 (Magma) function a(n) return 280*Binomial(n,9)+10*Binomial(n,6)+6*Binomial(n,4)+Binomial(n,3)+1; end function; %Y A144841 Cf. A000127. %K A144841 easy,nonn %O A144841 1,3 %A A144841 Sep, Jorik & Noud Thijssen (sep.thijssen(AT)gmail.com), Sep 22 2008 %E A144841 More terms and new name using formula given from _Joerg Arndt_, Aug 21 2025