A209810 Number of (n+1)X5 0..3 arrays with every 2X2 subblock having two distinct values, and new values 0..3 introduced in row major order

930, 25505, 712829, 20873080, 617966001, 18479672376, 555404234236, 16753667272666, 506554692545247, 15340795715678711, 465100426878385218, 14111522453360462313, 428376408597707821926, 13008620388438620174834

Offset

1,1

Comments

Column 4 of A209814

Links

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

Formula

Empirical: a(n) = 66*a(n-1) -1211*a(n-2) -3327*a(n-3) +287711*a(n-4) -1650227*a(n-5) -18911756*a(n-6) +200787144*a(n-7) +249811709*a(n-8) -8470618231*a(n-9) +12934099929*a(n-10) +169407260904*a(n-11) -526263544629*a(n-12) -1680919496686*a(n-13) +8328865779706*a(n-14) +6270909877563*a(n-15) -70313845544213*a(n-16) +27029214503869*a(n-17) +333056045453117*a(n-18) -377395472742367*a(n-19) -825772616226370*a(n-20) +1585680300164445*a(n-21) +703085339056680*a(n-22) -3069417122224407*a(n-23) +900452612086569*a(n-24) +2425264270015320*a(n-25) -1808654163691437*a(n-26) -347830308417366*a(n-27) +652709084826024*a(n-28) -96050625683220*a(n-29) -59518267835508*a(n-30) +14239281350520*a(n-31) +1128398046480*a(n-32) -309936391200*a(n-33)

Example

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

Crossrefs

Sequence in context: A115958 A158679 A250384 * A035856 A093231 A252530

Adjacent sequences: A209807 A209808 A209809 * A209811 A209812 A209813

Keyword

nonn

Author

R. H. Hardin Mar 13 2012

Status

approved