A301404 - OEIS

%I #6 Jan 20 2024 16:25:43

%S 16,512,15680,483600,14905344,459428416,14160945920,436482419456,

%T 13453684678656,414682524038144,12781747146699776,393971413432651776,

%U 12143369198333804544,374294708852698746880,11536874716313877610496

%N Number of n X 5 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A301407.

%H R. H. Hardin, <a href="/A301404/b301404.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) +204*a(n-2) +228*a(n-3) -1008*a(n-4) -1008*a(n-5) +2304*a(n-6) -192*a(n-7) -512*a(n-8) for n>9.

%e Some solutions for n=5

%e ..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0

%e ..0..0..0..0..0. .0..0..0..1..1. .0..0..0..1..1. .0..0..0..0..0

%e ..0..1..1..0..1. .1..0..1..0..1. .1..0..1..1..0. .0..1..1..0..1

%e ..1..1..0..1..1. .0..1..1..0..0. .0..0..1..1..0. .1..1..0..0..0

%e ..0..0..1..1..1. .0..1..1..0..0. .1..1..0..1..1. .0..1..1..1..0

%Y Cf. A301407.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 20 2018