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A239988 Number of 4Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4 1

%I #4 Mar 30 2014 07:05:07

%S 4,16,56,171,530,1495,4059,10121,23476,51169,105957,210063,401043,

%T 740392,1325954,2309449,3920715,6500605,10544919,16762214,26148867,

%U 40085363,60458446,89814510,131550423,190148874,271466315,383082641,534722915

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

%C Row 4 of A239986

%H R. H. Hardin, <a href="/A239988/b239988.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/907200)*n^10 - (1/72576)*n^9 + (113/120960)*n^8 - (265/12096)*n^7 + (2651/5400)*n^6 - (141761/17280)*n^5 + (40878671/362880)*n^4 - (10305217/9072)*n^3 + (399085217/50400)*n^2 - (86061371/2520)*n + 68243 for n>12

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 30 2014

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)