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.

A354915 Maximum length of 3 finite snakes in the Snake Number Problem with n-periodic instructions in an infinite square grid (see Comments).

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%I A354915 #8 Jul 03 2022 09:22:22
%S A354915 53,82,214,321,336,472,541,4477
%N A354915 Maximum length of 3 finite snakes in the Snake Number Problem with n-periodic instructions in an infinite square grid (see Comments).
%C A354915 We start with 3 infinite snakes, and 4 possible directions: up, right, down, left.
%C A354915 If on its turn one of the snakes cannot execute an order because that square is occupied, it goes to the next order, and so on.
%C A354915 The snakes can be blocked and finish there or can continue infinitely.
%C A354915 Which are the longest finite snakes using n instructions for 3 snakes that start in the same square (with n >= 4 because with 3 or fewer instructions are infinite)?
%H A354915 Ariel Futoransky, <a href="http://snake.puzzlefun.online/">Snake Program</a>, Snake Program to try the snakes, April 2022 (to see more Snakes after the instruction you put :0 :0 for 3 snakes).
%H A354915 Rodolfo Kurchan, <a href="http://www.puzzlefun.online/problems">Puzzle Fun</a>, Snake Number Problem, March 2022.
%e A354915                       | Instructions that give
%e A354915    n | Maximum length |   the maximal length
%e A354915   --------------------------------------------
%e A354915    4          53              URDL
%e A354915    5          82              URDLU
%e A354915    6         214              UURDUL
%e A354915    7         321              URUULDU
%e A354915    8         336              URURUULD
%e A354915    9         472              URDDDDDDL
%e A354915   10         541              UUURUDLLDD
%e A354915   11        4477              UUDDRDUUUDL
%Y A354915 Cf. A353176, A353234.
%K A354915 nonn,more
%O A354915 4,1
%A A354915 _Rodolfo Kurchan_, Jun 11 2022