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.

A231414 Number of (n+1)X(2+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.

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%I A231414 #6 Jul 23 2025 06:28:13
%S A231414 71,1032,15125,221445,3245016,47557773,697029563,10216062982,
%T A231414 149732672641,2194570662617,32164925750976,471428170136401,
%U A231414 6909529986297263,101270156563366358,1484275287919713541
%N A231414 Number of (n+1)X(2+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.
%C A231414 Column 2 of A231419
%H A231414 R. H. Hardin, <a href="/A231414/b231414.txt">Table of n, a(n) for n = 1..210</a>
%F A231414 Empirical: a(n) = 17*a(n-1) -28*a(n-2) -119*a(n-3) +373*a(n-4) +134*a(n-5) -268*a(n-6) -200*a(n-7)
%e A231414 Some solutions for n=3
%e A231414 ..0..1..1....0..1..0....0..0..1....0..1..2....0..1..0....0..1..0....0..1..2
%e A231414 ..0..2..0....2..0..2....1..1..1....2..0..0....0..2..1....2..2..0....0..0..1
%e A231414 ..2..0..0....1..1..1....0..2..0....2..1..2....1..2..1....0..0..1....2..2..2
%e A231414 ..2..1..2....0..0..1....1..0..1....1..2..0....0..1..2....2..1..2....1..0..0
%K A231414 nonn
%O A231414 1,1
%A A231414 _R. H. Hardin_, Nov 08 2013