A209825 Number of (n+1)X5 0..2 arrays with every 2X2 subblock having one or two distinct values, and new values 0..2 introduced in row major order

1169, 46034, 1842509, 74564193, 3025299170, 122849339000, 4989831357191, 202690028329573, 8233587523146604, 334463675000101972, 13586567965317596307, 551913309230260581903, 22419816737046235524034

Offset

1,1

Comments

Column 4 of A209829

Links

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

Formula

Empirical: a(n) = 60*a(n-1) -839*a(n-2) +1399*a(n-3) +31874*a(n-4) -122506*a(n-5) -318771*a(n-6) +1769870*a(n-7) +389301*a(n-8) -8009315*a(n-9) +3097168*a(n-10) +13833529*a(n-11) -8760492*a(n-12) -9461275*a(n-13) +7615892*a(n-14) +2191722*a(n-15) -2581040*a(n-16) +92008*a(n-17) +286200*a(n-18) -54000*a(n-19) -1264*a(n-20) +480*a(n-21)

Example

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

Crossrefs

Sequence in context: A185469 A065656 A185468 * A264688 A043432 A065703

Adjacent sequences: A209822 A209823 A209824 * A209826 A209827 A209828

Keyword

nonn

Author

R. H. Hardin Mar 13 2012

Status

approved