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.

A244971 Number of regions in the symmetric representation of sigma(n) on the four quadrants.

This page as a plain text file.
%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