cp's OEIS Frontend

A269217 Number of 4Xn 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three exactly once.

%I A269217 #4 Feb 20 2016 11:32:05
%S A269217 0,11424,361728,12548544,394072704,11985002256,354189986208,
%T A269217 10261769266944,292749231337728,8250573640526208,230241360762467712,
%U A269217 6372885696329678304,175188945893347242144,4787785430572600575216
%N A269217 Number of 4Xn 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three exactly once.
%C A269217 Row 4 of A269214.
%H A269217 R. H. Hardin, <a href="/A269217/b269217.txt">Table of n, a(n) for n = 1..210</a>
%F A269217 Empirical: a(n) = 48*a(n-1) -424*a(n-2) -5664*a(n-3) +40624*a(n-4) +218356*a(n-5) -1300662*a(n-6) -2980700*a(n-7) +17916384*a(n-8) +2629424*a(n-9) -96328452*a(n-10) +132185980*a(n-11) -10936481*a(n-12) -91456900*a(n-13) +51588388*a(n-14) +9975760*a(n-15) -14279120*a(n-16) +2348160*a(n-17) +465152*a(n-18) -79872*a(n-19) -9216*a(n-20)
%e A269217 Some solutions for n=2
%e A269217 ..3..1. .3..2. .2..2. .2..0. .1..3. .3..1. .3..1. .1..3. .3..3. .2..0
%e A269217 ..0..1. .2..1. .3..2. .1..3. .3..1. .1..3. .0..2. .2..3. .1..1. .0..0
%e A269217 ..1..3. .0..0. .0..0. .2..3. .0..3. .2..3. .1..1. .1..1. .3..1. .1..1
%e A269217 ..3..1. .1..1. .0..2. .0..0. .3..2. .3..1. .1..0. .1..1. .2..2. .0..2
%Y A269217 Cf. A269214.
%K A269217 nonn
%O A269217 1,2
%A A269217 _R. H. Hardin_, Feb 20 2016