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A239852 Number of n X 2 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero 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
2, 3, 5, 4, 5, 5, 6, 10, 11, 15, 16, 21, 26, 32, 41, 48, 62, 74, 94, 115, 142, 177, 216, 271, 331, 413, 508, 629, 779, 960, 1192, 1468, 1821, 2247, 2781, 3439, 4249, 5260, 6496, 8041, 9935, 12290, 15195, 18786, 23236, 28721, 35526, 43916, 54312, 67152, 83033 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = a(n-2) + a(n-5) for n>9.
Empirical g.f.: x*(2 + 3*x + 3*x^2 + x^3 - x^5 - 2*x^6 + x^8) / (1 - x^2 - x^5). - Colin Barker, Oct 26 2018
EXAMPLE
All solutions for n=4:
..3..2....3..2....3..2....2..3
..2..3....2..3....2..3....3..0
..2..0....3..0....3..0....3..2
..2..0....2..3....3..2....2..3
CROSSREFS
Column 2 of A239858.
Sequence in context: A131296 A371216 A267808 * A263279 A262507 A151679
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 28 2014
STATUS
approved

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Last modified April 15 02:01 EDT 2024. Contains 371667 sequences. (Running on oeis4.)