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A239594 Number of n X 2 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. 1
4, 3, 4, 4, 5, 7, 8, 11, 12, 16, 19, 24, 30, 36, 46, 55, 70, 85, 106, 131, 161, 201, 246, 307, 377, 468, 578, 714, 885, 1091, 1353, 1669, 2067, 2554, 3158, 3907, 4827, 5974, 7381, 9132, 11288, 13959, 17262, 21340, 26394, 32628, 40353, 49890, 61693, 76284, 94321 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = a(n-2) + a(n-5) for n>6.
Empirical g.f.: x*(4 + 3*x + x^3 + x^4 - x^5) / (1 - x^2 - x^5). - Colin Barker, Oct 26 2018
EXAMPLE
All solutions for n=4:
..2..0....2..0....3..0....2..0
..2..0....2..0....2..3....2..0
..3..0....2..0....3..2....3..0
..2..3....2..0....2..3....3..2
CROSSREFS
Column 2 of A239599.
Sequence in context: A010652 A332810 A088752 * A094948 A332472 A049788
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 22 2014
STATUS
approved

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Last modified February 20 17:43 EST 2024. Contains 370215 sequences. (Running on oeis4.)