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.

A241324 Number of nX3 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order.

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%I A241324 #6 Jul 23 2025 11:12:08
%S A241324 2,59,2344,95144,3875244,157912026,6435036610,262234101215,
%T A241324 10686305830308,435477843275035,17746165666239258,723174326871008607,
%U A241324 29470090437788760318,1200936203282125872968,48939373545548944414862
%N A241324 Number of nX3 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order.
%C A241324 Column 3 of A241328
%H A241324 R. H. Hardin, <a href="/A241324/b241324.txt">Table of n, a(n) for n = 1..210</a>
%F A241324 Empirical: a(n) = 45*a(n-1) -171*a(n-2) -57*a(n-3) -1321*a(n-4) +2701*a(n-5) +10837*a(n-6) +5209*a(n-7) +13262*a(n-8) -1578*a(n-9) -7272*a(n-10) -5706*a(n-11) -17487*a(n-12) -2511*a(n-13) +4779*a(n-14) -729*a(n-15)
%e A241324 Some solutions for n=4
%e A241324 ..0..1..0....0..1..2....0..1..2....0..1..0....0..1..2....0..1..0....0..1..1
%e A241324 ..0..2..3....3..0..0....0..2..0....2..0..1....3..0..1....1..2..3....2..1..1
%e A241324 ..3..2..3....1..0..0....1..3..0....0..1..0....0..2..3....1..2..0....2..3..0
%e A241324 ..2..1..3....1..2..3....0..1..0....3..0..2....0..2..3....0..3..0....3..1..0
%K A241324 nonn
%O A241324 1,1
%A A241324 _R. H. Hardin_, Apr 19 2014