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 A214114 #10 Oct 27 2024 20:29:25 %S A214114 25,121,3502,44900,825105,12777541,214404272,3462096250,56936675435, %T A214114 928191589611,15195150205442,248255790803800,4059868440913765, %U A214114 66362714338128081,1085006507030505012,17737586664000998550,289987159511252164095,4740808786041449060951 %N A214114 Number of 0..3 colorings of a 3X(n+1) array circular in the n+1 direction with new values 0..3 introduced in row major order. %C A214114 Row 3 of A214112. %H A214114 R. H. Hardin, <a href="/A214114/b214114.txt">Table of n, a(n) for n = 1..210</a> %F A214114 Empirical: a(n) = 11*a(n-1) +123*a(n-2) -509*a(n-3) -1615*a(n-4) +7137*a(n-5) -19*a(n-6) -20571*a(n-7) +13176*a(n-8) +13932*a(n-9) -11664*a(n-10). %F A214114 Empirical g.f.: -x*(-25 +154*x +904*x^2 -4220*x^3 -2423*x^4 +21806*x^5 -10134*x^6 -26460*x^7 +20898*x^8) / ( (x-1) *(3*x-1) *(2*x-1) *(4*x+1) *(1+x) *(27*x^2-18*x+1) *(18*x^3+x^2-8*x-1) ). - _R. J. Mathar_, Jul 04 2012 %e A214114 Some solutions for n=4 %e A214114 ..0..1..2..3..1....0..1..0..2..1....0..1..2..0..1....0..1..0..1..2 %e A214114 ..1..0..3..0..3....1..0..2..0..2....1..2..3..1..0....1..0..1..0..3 %e A214114 ..0..1..2..1..2....2..1..3..1..0....3..1..0..2..1....2..1..3..1..0 %K A214114 nonn %O A214114 1,1 %A A214114 _R. H. Hardin_ Jul 04 2012