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 A241965 #7 Oct 31 2018 05:49:35 %S A241965 19,124,486,1421,3437,7280,13980,24897,41767,66748,102466,152061, %T A241965 219233,308288,424184,572577,759867,993244,1280734,1631245,2054613, %U A241965 2561648,3164180,3875105,4708431,5679324,6804154,8100541,9587401,11284992 %N A241965 Number of length 2+3 0..n arrays with no consecutive four elements summing to more than 2*n. %H A241965 R. H. Hardin, <a href="/A241965/b241965.txt">Table of n, a(n) for n = 1..210</a> %F A241965 Empirical: a(n) = (23/60)*n^5 + (9/4)*n^4 + (21/4)*n^3 + (25/4)*n^2 + (58/15)*n + 1. %F A241965 Conjectures from _Colin Barker_, Oct 31 2018: (Start) %F A241965 G.f.: x*(19 + 10*x + 27*x^2 - 15*x^3 + 6*x^4 - x^5) / (1 - x)^6. %F A241965 a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n>6. %F A241965 (End) %e A241965 Some solutions for n=4: %e A241965 ..2....1....1....1....1....0....0....3....0....1....4....2....4....2....1....4 %e A241965 ..0....2....0....2....1....4....0....3....0....0....3....1....0....0....0....4 %e A241965 ..2....1....0....3....0....2....2....0....4....3....0....1....2....1....0....0 %e A241965 ..1....0....2....1....2....2....2....1....3....2....0....4....0....4....2....0 %e A241965 ..1....1....2....2....4....0....4....3....1....0....0....2....0....2....0....3 %Y A241965 Row 2 of A241964. %K A241965 nonn %O A241965 1,1 %A A241965 _R. H. Hardin_, May 03 2014