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.

A338174 The largest value that integer n is connected to in a web where every integer n has n connections, each integer is connected to the lowest values possible, and new values are added in phases.

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%I A338174 #23 Dec 21 2020 18:06:30
%S A338174 2,3,5,7,10,11,13,16,20,25,21,22,23,24,25,26,28,31,35,40,46,54,64,76,
%T A338174 90,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
%U A338174 73,74,75,76,78,80,82,84,86,88,90,92,96,102,110,120,132,146
%N A338174 The largest value that integer n is connected to in a web where every integer n has n connections, each integer is connected to the lowest values possible, and new values are added in phases.
%C A338174 The concept of this sequence is based on a web where every possible connection in the web is made with the numbers written so far, and then new numbers are added for every connection that needs to be made.
%e A338174 Start with a map of nothing but 1.
%e A338174    1 has 0 connections.
%e A338174 So we add 2 and connect it.
%e A338174    1 has 1 connection (2)
%e A338174    2 has 1 connection (1)
%e A338174 Now we need one more number to connect with 2, so we add 3.
%e A338174    2 has 2 connections (1,3)
%e A338174    3 has 1 connection (2)
%e A338174 Now because 3 needs two more numbers, we add 4 and 5 at once, and make as many connections as possible.
%e A338174    3 has 3 connections (2,4,5)
%e A338174    4 has 2 connections (3,5)
%e A338174    5 has 2 connections (3,4)
%e A338174 We need five more numbers because 4 lacks two connections, and 5 lacks three connections, so we add 6,7,8,9,10.
%e A338174    4 has 4 connections (3,5,6,7)
%e A338174    5 has 5 connections (3,4,8,9,10)
%e A338174    6 has 5 connections (4,7,8,9,10)
%e A338174    7 has 5 connections (4,6,8,9,10)
%e A338174    8 has 5 connections (5,6,7,9,10)
%e A338174    9 has 5 connections (5,6,7,8,10)
%e A338174    10 has 5 connections (5,6,7,8,9)
%e A338174 This continues indefinitely.
%K A338174 nonn
%O A338174 1,1
%A A338174 _Aidan Clarke_, Nov 18 2020