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 A354916 #9 Jul 03 2022 09:23:09 %S A354916 33,75,348,435,504,595,805,4382 %N A354916 Maximum length of 4 finite snakes in the Snake Number Problem with n-periodic instructions in an infinite square grid (see Comments). %C A354916 We start with 4 infinite snakes, and 4 possible directions: up, right, down, left. %C A354916 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 A354916 The snakes can be blocked and finish there or can continue infinitely. %C A354916 Which are the longest finite snakes using n instructions for 4 snakes that start in the same square (with n >= 4 because with 3 or fewer instructions are infinite)?LINKS %H A354916 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 :0 for 4 snakes). %H A354916 Rodolfo Kurchan, <a href="http://www.puzzlefun.online/problems">Puzzle Fun</a>, Snake Number Problem, March 2022. %e A354916 | Instructions that give %e A354916 n | Maximum length | the maximal length %e A354916 -------------------------------------------- %e A354916 4 33 URDL %e A354916 5 75 URDLU %e A354916 6 348 UURDUL %e A354916 7 435 URUULDU %e A354916 8 504 URURUULD %e A354916 9 595 URDDDDDDL %e A354916 10 805 UUURUDLLDD %e A354916 11 4382 UUDDRDUUUDL %Y A354916 Cf. A353176, A353234, A354915. %K A354916 nonn,more %O A354916 4,1 %A A354916 _Rodolfo Kurchan_, Jun 11 2022