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 A244971 #29 May 24 2021 23:32:18 %S A244971 1,1,4,1,4,1,4,1,8,4,4,1,4,4,8,1,4,1,4,1,12,4,4,1,8,4,12,1,4,1,4,1,12, %T A244971 4,8,1,4,4,12,1,4,1,4,4,8,4,4,1,8,8,12,4,4,1,12,1,12,4,4,1,4,4,16,1, %U A244971 12,1,4,4,12,8,4,1,4,4,12,4,8,4,4,1,16,4,4,1,12,4,12,1,4,1 %N A244971 Number of regions in the symmetric representation of sigma(n) on the four quadrants. %C A244971 Partial sums give A244970. %C A244971 Number of terraces at the n-th level (starting from the top) of the stepped pyramid described in A244050. - _Omar E. Pol_, Apr 20 2016 %H A244971 Antti Karttunen, <a href="/A244971/b244971.txt">Table of n, a(n) for n = 1..5000</a> (computed from the b-file of A237271 provided by Michel Marcus) %F A244971 a(n) = 1, if A237271(n) = 1. %F A244971 a(n) = 4*(A237271(n) - 1), if A237271(n) > 1. %e A244971 From _Omar E. Pol_, Apr 20 2016: (Start) %e A244971 Illustration of the top view of the stepped pyramid with 16 levels: %e A244971 . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ %e A244971 . | _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ | %e A244971 . | |_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _| | %e A244971 . _ _| | _ _ _ _ _ _ _ _ _ _ _ _ _ _ | |_ _ %e A244971 . _| _ _| |_ _ _ _ _ _ _ _ _ _ _ _ _ _| |_ _ |_ %e A244971 . _| _| _| | _ _ _ _ _ _ _ _ _ _ _ _ | |_ |_ |_ %e A244971 . | _| |_ _| |_ _ _ _ _ _ _ _ _ _ _ _| |_ _| |_ | %e A244971 . _ _ _| | _ _| | _ _ _ _ _ _ _ _ _ _ | |_ _ | |_ _ _ %e A244971 . | _ _ _|_| | _| |_ _ _ _ _ _ _ _ _ _| |_ | |_|_ _ _ | %e A244971 . | | | _ _ _| _|_ _| _ _ _ _ _ _ _ _ |_ _|_ |_ _ _ | | | %e A244971 . | | | | | _ _ _| | _| |_ _ _ _ _ _ _ _| |_ | |_ _ _ | | | | | %e A244971 . | | | | | | | _ _|_| _| _ _ _ _ _ _ |_ |_|_ _ | | | | | | | %e A244971 . | | | | | | | | | _ _| |_ _ _ _ _ _| |_ _ | | | | | | | | | %e A244971 . | | | | | | | | | | | _ _| _ _ _ _ |_ _ | | | | | | | | | | | %e A244971 . | | | | | | | | | | | | | _|_ _ _ _|_ | | | | | | | | | | | | | %e A244971 . | | | | | | | | | | | | | | | _ _ | | | | | | | | | | | | | | | %e A244971 . | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | %e A244971 . | | | | | | | | | | | | | | | |_ _| | | | | | | | | | | | | | | | %e A244971 . | | | | | | | | | | | | | |_|_ _ _ _|_| | | | | | | | | | | | | | %e A244971 . | | | | | | | | | | | |_|_ |_ _ _ _| _|_| | | | | | | | | | | | %e A244971 . | | | | | | | | | |_|_ |_ _ _ _ _ _| _|_| | | | | | | | | | %e A244971 . | | | | | | | |_|_ _ |_ |_ _ _ _ _ _| _| _ _|_| | | | | | | | %e A244971 . | | | | | |_|_ _ | |_ |_ _ _ _ _ _ _ _| _| | _ _|_| | | | | | %e A244971 . | | | |_|_ _ |_|_ _| |_ _ _ _ _ _ _ _| |_ _|_| _ _|_| | | | %e A244971 . | |_|_ _ _ | |_ |_ _ _ _ _ _ _ _ _ _| _| | _ _ _|_| | %e A244971 . |_ _ _ | |_|_ | |_ _ _ _ _ _ _ _ _ _| | _|_| | _ _ _| %e A244971 . | |_ |_ _ |_ _ _ _ _ _ _ _ _ _ _ _| _ _| _| | %e A244971 . |_ |_ |_ | |_ _ _ _ _ _ _ _ _ _ _ _| | _| _| _| %e A244971 . |_ |_ _| |_ _ _ _ _ _ _ _ _ _ _ _ _ _| |_ _| _| %e A244971 . |_ _ | |_ _ _ _ _ _ _ _ _ _ _ _ _ _| | _ _| %e A244971 . | |_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _| | %e A244971 . | |_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _| | %e A244971 . |_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _| %e A244971 . %e A244971 Note that the above diagram contains a hidden pattern, simpler, which emerges from the front view of every corner of the stepped pyramid. %e A244971 For more information about the hidden pattern see A237593. %e A244971 (End) %o A244971 (PARI) lista() = {v = readvec("b237271.txt"); for (i=1, #v, vi = v[i]; if (vi == 1, w = 1, w = 4*(vi-1)); print1(w, ", "););} \\ _Michel Marcus_, Sep 29 2014 %Y A244971 Cf. A000203, A196020, A235791, A236104, A237270, A237271, A237591, A237593, A239050, A239660, A239931-A239934, A244050, A244370, A244371, A244970, A245092. %K A244971 nonn %O A244971 1,3 %A A244971 _Omar E. Pol_, Jul 08 2014