A238723 Number of nX5 0..2 arrays with no element equal to the sum modulo 3 of elements to its left or elements above it

8, 42, 336, 1506, 11440, 48538, 359456, 1502622, 10971288, 45750856, 331213056, 1382740252, 9956765976, 41644596642, 298827741680, 1252006016638, 8963172170592, 37604588665246, 268792589572384, 1128862873230946

Offset

1,1

Comments

Column 5 of A238726

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

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

Crossrefs

Sequence in context: A204565 A020068 A266474 * A316283 A236328 A284337

Adjacent sequences: A238720 A238721 A238722 * A238724 A238725 A238726

Keyword

nonn

Author

R. H. Hardin, Mar 03 2014

Status

approved