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

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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

4, 16, 56, 171, 530, 1495, 4059, 10121, 23476, 51169, 105957, 210063, 401043, 740392, 1325954, 2309449, 3920715, 6500605, 10544919, 16762214, 26148867, 40085363, 60458446, 89814510, 131550423, 190148874, 271466315, 383082641, 534722915

1,1

Row 4 of A239986

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

Some solutions for n=4

..3..0..0..0....3..0..0..0....3..0..0..0....3..0..0..0....3..0..0..0

..2..1..0..0....2..3..0..3....2..1..0..0....2..1..0..0....2..3..0..3

..2..0..0..3....2..0..0..0....2..0..0..0....2..0..3..0....2..0..1..0

..3..2..0..2....2..0..0..0....3..2..0..0....3..0..0..1....3..2..0..3

allocated

nonn

R. H. Hardin, Mar 30 2014

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