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 A245948 #6 Apr 02 2025 21:54:44 %S A245948 1435,7669,39721,199141,1021225,5208673,26526337,135336793,690045061, %T A245948 3518298991,17940920173,91480646389,466463146399,2378531818147, %U A245948 12128251046821,61842638080231,315339231002215,1607932492222021 %N A245948 Number of length n+3 0..6 arrays with some pair in every consecutive four terms totalling exactly 6. %C A245948 Column 6 of A245950. %H A245948 R. H. Hardin, <a href="/A245948/b245948.txt">Table of n, a(n) for n = 1..210</a> %F A245948 Empirical: a(n) = 4*a(n-1) +8*a(n-2) +2*a(n-3) -39*a(n-4) -139*a(n-5) -175*a(n-6) -179*a(n-7) +980*a(n-8) +1638*a(n-9) -1266*a(n-10) -210*a(n-11) -352*a(n-12) +123*a(n-13) +24*a(n-14) +19*a(n-15) -5*a(n-16). %e A245948 Some solutions for n=4 %e A245948 ..3....4....0....4....0....1....3....4....4....1....0....4....4....3....1....4 %e A245948 ..6....5....5....6....2....4....2....5....3....1....1....1....3....6....4....1 %e A245948 ..1....4....6....1....4....2....3....1....2....4....0....5....3....5....6....1 %e A245948 ..0....1....5....0....5....5....4....5....4....2....6....6....3....1....0....5 %e A245948 ..6....4....1....6....6....0....2....6....5....4....2....1....3....0....1....3 %e A245948 ..6....5....4....2....0....6....2....2....5....0....4....2....1....0....0....1 %e A245948 ..1....2....5....1....4....2....1....4....1....4....1....0....2....6....5....5 %Y A245948 Cf. A245950. %K A245948 nonn %O A245948 1,1 %A A245948 _R. H. Hardin_, Aug 08 2014