A241373 Number of 4Xn 0..2 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order

14, 326, 7376, 169982, 3910194, 90008909, 2071815945, 47690157718, 1097756412666, 25268747760871, 581649645222695, 13388725521741539, 308188912773527912, 7094058807175007496, 163294876256510271215

Offset

1,1

Comments

Row 4 of A241370

Links

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

Formula

Empirical: a(n) = 32*a(n-1) -214*a(n-2) +26*a(n-3) +3879*a(n-4) -15470*a(n-5) +19107*a(n-6) +72463*a(n-7) -211026*a(n-8) +106996*a(n-9) +193844*a(n-10) -2000756*a(n-11) +412552*a(n-12) +8652096*a(n-13) -3035456*a(n-14) -10691648*a(n-15) +6530688*a(n-16) +2014720*a(n-17) -6114304*a(n-18) +2244608*a(n-19) +1933312*a(n-20) -720896*a(n-21) for n>23

Example

Some solutions for n=4
..0..1..0..2....0..1..0..2....0..1..0..2....0..1..1..2....0..1..0..0
..0..2..0..1....0..1..2..0....1..0..2..0....0..1..1..0....2..1..0..0
..1..2..0..2....0..2..0..0....1..2..1..2....1..1..1..0....2..0..2..0
..1..2..0..2....0..2..0..1....0..2..1..2....1..1..0..2....1..2..1..0

Crossrefs

Sequence in context: A275500 A275397 A275262 * A090598 A277769 A060075

Adjacent sequences: A241370 A241371 A241372 * A241374 A241375 A241376

Keyword

nonn

Author

R. H. Hardin, Apr 20 2014

Status

approved