A230938 Number of white-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

8, 146, 522, 6896, 28216, 396950, 1604098, 22368688, 90493348, 1263445694, 5110596026, 71342555920, 288582390848, 4028614953140, 16295807971272, 227489242462866, 920197584585530, 12845949410201834, 51962066282019906

Offset

1,1

Comments

Column 5 of A230940

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
..0..x..0..x..0..x..2....0..x..0..x..2..x..0....0..x..2..x..2..x..2
..x..1..x..1..x..3..x....x..1..x..3..x..1..x....x..1..x..3..x..3..x
..0..x..2..x..2..x..2....0..x..2..x..2..x..0....0..x..0..x..2..x..0
..x..3..x..1..x..3..x....x..3..x..3..x..1..x....x..2..x..1..x..1..x
..2..x..2..x..2..x..0....2..x..0..x..2..x..0....1..x..3..x..0..x..2
..x..1..x..1..x..1..x....x..1..x..3..x..1..x....x..0..x..2..x..3..x

Crossrefs

Sequence in context: A105046 A123812 A064331 * A351922 A239758 A239759

Adjacent sequences: A230935 A230936 A230937 * A230939 A230940 A230941

Keyword

nonn

Author

R. H. Hardin, Nov 01 2013

Status

approved