A230932 Number of black-square subarrays of (n+2)X(5+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero

42, 146, 1682, 6896, 98296, 396950, 5528862, 22368688, 312355848, 1263445694, 17637095990, 71342555920, 995946010982, 4028614953140, 56239394873464, 227489242462866, 3175747801820816, 12845949410201834, 179329323720766570

Offset

1,1

Comments

Column 5 of A230935

Links

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

Formula

Empirical: a(n) = 63*a(n-2) -257*a(n-4) -6639*a(n-6) +14476*a(n-8) +210885*a(n-10) +297473*a(n-12) -149746*a(n-14) +3509820*a(n-16) +15998822*a(n-18) +18439507*a(n-20) -5600207*a(n-22) -23359537*a(n-24) -11139145*a(n-26) +4160133*a(n-28) +3040715*a(n-30) -1579065*a(n-32) -872680*a(n-34) +360423*a(n-36) +62740*a(n-38) -14788*a(n-40) +16*a(n-42) -256*a(n-44)

Example

Some solutions for n=4
..x..0..x..2..x..2..x....x..0..x..0..x..0..x....x..0..x..2..x..0..x
..1..x..3..x..1..x..3....1..x..1..x..1..x..1....1..x..3..x..1..x..3
..x..2..x..0..x..0..x....x..2..x..2..x..2..x....x..2..x..0..x..0..x
..1..x..1..x..1..x..3....1..x..3..x..1..x..3....1..x..3..x..3..x..1
..x..0..x..2..x..0..x....x..0..x..2..x..0..x....x..2..x..2..x..2..x
..3..x..1..x..3..x..3....3..x..3..x..1..x..3....1..x..1..x..1..x..1

Crossrefs

Sequence in context: A044374 A044755 A262424 * A224954 A299131 A158479

Adjacent sequences: A230929 A230930 A230931 * A230933 A230934 A230935

Keyword

nonn

Author

R. H. Hardin, Nov 01 2013

Status

approved