login
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
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
OFFSET
1,1
COMMENTS
Row 4 of A239986
LINKS
FORMULA
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
EXAMPLE
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
CROSSREFS
Sequence in context: A212520 A115108 A127393 * A308288 A340257 A261386
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 30 2014
STATUS
approved