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A269149 Number of nX5 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three exactly once.

%I A269149 #4 Feb 20 2016 07:17:23
%S A269149 432,46464,3277728,208984848,12637025328,738478504448,42119837369168,
%T A269149 2359047063894464,130272136732736736,7113223023541150960,
%U A269149 384838349955877213536,20661359894841380480272,1102107089173705118234384
%N A269149 Number of nX5 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three exactly once.
%C A269149 Column 5 of A269152.
%H A269149 R. H. Hardin, <a href="/A269149/b269149.txt">Table of n, a(n) for n = 1..210</a>
%F A269149 Empirical: a(n) = 134*a(n-1) -6403*a(n-2) +137212*a(n-3) -1537987*a(n-4) +10006762*a(n-5) -41364815*a(n-6) +107588656*a(n-7) -111196320*a(n-8) -399050332*a(n-9) +2108507944*a(n-10) -4098003684*a(n-11) +445179883*a(n-12) +18009896226*a(n-13) -42207232033*a(n-14) +12581717548*a(n-15) +122544940860*a(n-16) -203283873760*a(n-17) -79843687188*a(n-18) +508551706160*a(n-19) -240288894385*a(n-20) -648319426210*a(n-21) +662670918703*a(n-22) +480938145704*a(n-23) -858808887300*a(n-24) -176689259732*a(n-25) +734283407564*a(n-26) -39751157620*a(n-27) -450104705459*a(n-28) +101139044518*a(n-29) +200718146529*a(n-30) -72282159428*a(n-31) -63674380919*a(n-32) +31546829386*a(n-33) +13183985923*a(n-34) -9057688788*a(n-35) -1275648164*a(n-36) +1571020336*a(n-37) -67398016*a(n-38) -125671104*a(n-39) +17151168*a(n-40) +3564288*a(n-41) -665856*a(n-42) for n>45
%e A269149 Some solutions for n=2
%e A269149 ..3..2..3..0..0. .1..3..0..1..0. .1..1..0..2..2. .2..2..0..3..3
%e A269149 ..3..2..2..2..0. .1..1..0..1..0. .0..2..2..2..0. .2..2..2..3..1
%Y A269149 Cf. A269152.
%K A269149 nonn
%O A269149 1,1
%A A269149 _R. H. Hardin_, Feb 20 2016