A224654 Number of (n+2)X3 0..2 matrices with each 3X3 subblock having the same population

19683, 67797, 233523, 804357, 3295269, 13499973, 55306341, 259112385, 1213951725, 5687411625, 29431160325, 152300071665, 788120875053, 4354246250577, 24056538801093, 132908665652937, 763238423469429

Offset

1,1

Comments

Column 1 of A224658

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -27*a(n-2) +252*a(n-3) -2340*a(n-4) +6318*a(n-5) -23427*a(n-6) +192150*a(n-7) -518805*a(n-8) +1061424*a(n-9) -7155540*a(n-10) +19319958*a(n-11) -25759944*a(n-12) +128799720*a(n-13) -347759244*a(n-14) +343901376*a(n-15) -1120618800*a(n-16) +3025670760*a(n-17) -2459272752*a(n-18) +4421589120*a(n-19) -11938290624*a(n-20) +8571080448*a(n-21) -6122200320*a(n-22) +16529940864*a(n-23) -11019960576*a(n-24)

Example

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

Crossrefs

Sequence in context: A186560 A046322 A224658 * A250601 A250594 A067489

Adjacent sequences: A224651 A224652 A224653 * A224655 A224656 A224657

Keyword

nonn

Author

R. H. Hardin Apr 13 2013

Status

approved