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.

A232318 Number of (2+1)X(n+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.

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%I A232318 #8 Jul 23 2025 07:18:27
%S A232318 5,24,139,853,5241,32089,196698,1205422,7387476,45274221,277463582,
%T A232318 1700438900,10421159854,63866201729,391404773682,2398728792093,
%U A232318 14700637816523,90093032996396,552136219923131,3383773364176424
%N A232318 Number of (2+1)X(n+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.
%C A232318 Row 2 of A232316
%H A232318 R. H. Hardin, <a href="/A232318/b232318.txt">Table of n, a(n) for n = 1..210</a>
%F A232318 Empirical: a(n) = 5*a(n-1) +9*a(n-2) -10*a(n-3) -19*a(n-4) +9*a(n-5) +21*a(n-6) -15*a(n-8) -5*a(n-9) +5*a(n-10) +4*a(n-11) -2*a(n-12) for n>14
%e A232318 Some solutions for n=7
%e A232318 ..0..0..1..0..1..0..0..1....0..0..0..0..0..1..0..0....0..0..0..0..1..1..1..0
%e A232318 ..0..1..0..1..1..0..1..0....0..0..1..1..1..1..1..0....0..1..1..1..0..1..0..0
%e A232318 ..0..0..1..1..1..1..0..0....1..1..0..0..1..1..0..0....1..0..0..0..1..1..1..1
%K A232318 nonn
%O A232318 1,1
%A A232318 _R. H. Hardin_, Nov 22 2013