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A240334 Number of nX3 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4 1

%I

%S 7,48,316,1543,6271,22116,69596,199504,528924,1310622,3062243,6794265,

%T 14399820,29296378,57452518,108986486,200594945,359164115,627034377,

%U 1069540186,1785635484,2922647926,4696491195,7419012596,11534573228

%N Number of nX3 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4

%C Column 3 of A240338

%H R. H. Hardin, <a href="/A240334/b240334.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/1556755200)*n^13 + (13/479001600)*n^12 + (709/239500800)*n^11 - (1097/43545600)*n^10 + (4523/2419200)*n^9 - (600197/14515200)*n^8 + (21519737/21772800)*n^7 - (738857411/43545600)*n^6 + (5266122739/21772800)*n^5 - (29277165523/10886400)*n^4 + (450145058857/19958400)*n^3 - (224785067849/1663200)*n^2 + (23586754661/45045)*n - 987842 for n>12

%e Some solutions for n=4

%e ..0..3..0....0..0..0....3..0..0....0..0..0....0..0..3....0..0..3....0..0..3

%e ..0..0..3....0..0..0....0..3..0....0..3..0....3..0..3....3..0..3....0..0..3

%e ..0..3..0....0..3..3....3..3..1....0..0..3....0..3..3....3..3..3....0..3..2

%e ..3..2..2....0..0..3....3..2..2....0..0..3....3..3..2....3..3..2....3..3..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 04 2014

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Last modified November 29 10:31 EST 2021. Contains 349416 sequences. (Running on oeis4.)