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 A222345 #6 Jun 02 2025 08:25:53 %S A222345 3,10,8,35,33,21,126,124,108,55,462,460,440,352,144,1716,1714,1690, %T A222345 1560,1145,377,6435,6433,6405,6225,5525,3721,987,24310,24308,24276, %U A222345 24038,22950,19551,12087,2584,92378,92376,92340,92036,90440,84626,69142,39254 %N A222345 T(n,k)=Number of length (n+k)X1 arrays of occupancy after each element moves up to +-k places including 0. %C A222345 Table starts %C A222345 .....3.....10.....35.....126.....462....1716....6435...24310...92378..352716 %C A222345 .....8.....33....124.....460....1714....6433...24308...92376..352714.1352076 %C A222345 ....21....108....440....1690....6405...24276...92340..352674.1352032 %C A222345 ....55....352...1560....6225...24038...92036..352296.1351572 %C A222345 ...144...1145...5525...22950...90440..350056.1348536 %C A222345 ...377...3721..19551...84626..340746.1334368 %C A222345 ...987..12087..69142..312019.1284780 %C A222345 ..2584..39254.244419.1150208 %C A222345 ..6765.127469.863788 %C A222345 .17711.413908 %C A222345 .46368 %H A222345 R. H. Hardin, <a href="/A222345/b222345.txt">Table of n, a(n) for n = 1..66</a> %e A222345 Some solutions for n=3 k=4 %e A222345 ..0....0....2....0....0....1....0....0....0....0....2....1....0....1....2....0 %e A222345 ..1....1....1....2....1....1....0....0....1....3....0....1....0....0....0....3 %e A222345 ..3....2....0....1....1....1....4....7....0....1....0....0....1....3....0....2 %e A222345 ..0....1....1....0....4....0....0....0....2....0....1....0....0....0....1....0 %e A222345 ..0....0....3....0....1....2....0....0....0....1....0....1....6....0....4....1 %e A222345 ..0....3....0....4....0....0....0....0....2....0....3....4....0....1....0....0 %e A222345 ..3....0....0....0....0....2....3....0....2....2....1....0....0....2....0....1 %Y A222345 Column 1 is A001906(n+1) %Y A222345 Column 2 is A060557(n+1) %Y A222345 Column 3 is A094855(n+2) %Y A222345 Row 1 is A001700 %K A222345 nonn,tabl %O A222345 1,1 %A A222345 _R. H. Hardin_ Feb 16 2013