A239027 Number of nX5 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of elements above it, modulo 3

1, 6, 16, 110, 354, 2592, 9319, 69288, 265247, 1965398, 7800825, 57331200, 232485057, 1695069696, 6964531270, 50452937884, 209015936546, 1506842267076, 6275879711407, 45084885342398, 188433761914537, 1350270184320046

Offset

1,2

Comments

Column 5 of A239030

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 167*a(n-2) -12737*a(n-4) +590522*a(n-6) -18674960*a(n-8) +428232709*a(n-10) -7384832953*a(n-12) +97981999331*a(n-14) -1014383126841*a(n-16) +8257937387592*a(n-18) -53002256526176*a(n-20) +267655608403835*a(n-22) -1056157718233604*a(n-24) +3216196113264380*a(n-26) -7411332048725488*a(n-28) +12543993016224416*a(n-30) -14892794784221696*a(n-32) +11503438838397440*a(n-34) -5030303892805632*a(n-36) +890642713919488*a(n-38)

Example

Some solutions for n=5
..2..0..0..0..0....2..0..0..0..0....2..0..0..0..0....2..0..0..0..0
..1..0..0..2..2....1..0..0..2..2....1..2..2..0..0....1..0..2..2..0
..2..0..0..1..1....2..0..0..1..2....2..1..1..0..2....2..0..1..2..0
..2..0..0..0..0....1..2..2..0..0....2..0..0..0..1....2..0..0..1..2
..1..0..0..2..2....2..1..2..0..0....1..0..0..0..2....1..2..2..1..2

Crossrefs

Sequence in context: A034191 A368875 A115331 * A218976 A173737 A152663

Adjacent sequences: A239024 A239025 A239026 * A239028 A239029 A239030

Keyword

nonn

Author

R. H. Hardin, Mar 09 2014

Status

approved