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 A211560 #6 Jun 02 2025 07:47:37 %S A211560 1,29,499,6676,77078,810470,8016373,76199007,706750917,6470051684, %T A211560 58990507604,539568082508,4980617941373,46623060002853, %U A211560 444309621663295,4323539568389616,43053687075812286,439371904347001594 %N A211560 Number of nonnegative integer arrays of length n+6 with new values 0 upwards introduced in order, and containing the value 6. %C A211560 Column 7 of A211561 %H A211560 R. H. Hardin, <a href="/A211560/b211560.txt">Table of n, a(n) for n = 1..210</a> %F A211560 Empirical: a(n) = sum{j in 7..n+6}stirling2(n+6,j) %e A211560 Some solutions for n=5 %e A211560 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 %e A211560 ..1....1....1....1....1....1....1....1....1....1....1....1....1....1....1....1 %e A211560 ..2....2....2....2....2....2....2....2....2....2....2....2....1....2....2....2 %e A211560 ..3....3....3....3....3....0....3....3....0....0....3....3....2....3....3....0 %e A211560 ..4....4....1....4....4....3....4....4....3....0....4....4....2....2....4....3 %e A211560 ..5....0....4....5....3....4....3....3....3....3....5....5....3....0....0....1 %e A211560 ..0....2....2....1....5....5....1....5....4....2....0....4....4....3....4....4 %e A211560 ..4....4....5....6....1....6....4....6....1....4....0....6....1....4....3....3 %e A211560 ..2....5....6....6....6....1....5....6....1....3....6....2....5....5....5....5 %e A211560 ..6....0....1....6....3....5....3....3....5....5....6....1....1....6....3....6 %e A211560 ..3....6....6....6....7....6....6....1....6....6....7....6....6....3....6....5 %K A211560 nonn %O A211560 1,2 %A A211560 _R. H. Hardin_ Apr 15 2012