cp's OEIS Frontend

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.

A206688 Number of nX4 0..3 arrays with no element equal to another within two positions in the same row or column, and new values 0..3 introduced in row major order.

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%I A206688 #7 Jul 22 2025 19:36:25
%S A206688 2,36,176,916,4704,24492,127008,660888,3436488,17884080,93059016,
%T A206688 484334480,2520695968,13119605656,68284077520,355405952496,
%U A206688 1849822022856,9628019156288,50112266984832,260826450827576,1357560738338768
%N A206688 Number of nX4 0..3 arrays with no element equal to another within two positions in the same row or column, and new values 0..3 introduced in row major order.
%C A206688 Column 4 of A206692
%H A206688 R. H. Hardin, <a href="/A206688/b206688.txt">Table of n, a(n) for n = 1..210</a>
%F A206688 Empirical: a(n) = 8*a(n-1) -8*a(n-2) -48*a(n-3) +48*a(n-4) +140*a(n-5) +67*a(n-6) -968*a(n-7) +1564*a(n-8) -586*a(n-9) -1008*a(n-10) -32*a(n-11) +1304*a(n-12) +80*a(n-13) -512*a(n-14) for n>15
%e A206688 Some solutions for n=4
%e A206688 ..0..1..2..3....0..1..2..3....0..1..2..3....0..1..2..3....0..1..2..3
%e A206688 ..2..3..0..2....3..0..1..2....1..0..3..1....2..3..1..0....2..3..0..1
%e A206688 ..3..2..1..0....1..2..3..1....2..3..1..0....3..2..0..1....1..0..3..2
%e A206688 ..0..1..2..3....0..1..2..0....3..1..0..2....0..1..2..3....0..1..2..3
%K A206688 nonn
%O A206688 1,1
%A A206688 _R. H. Hardin_ Feb 11 2012