A205331 Number of (n+1)X5 0..2 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..2 introduced in row major order

2160, 39852, 827904, 17757552, 381376368, 8198181984, 176201014416, 3787178593416, 81398278366368, 1749504275073888, 37602271807627584, 808189417886692584, 17370493977296486352, 373345722670556657952

Offset

1,1

Comments

Column 4 of A205335

Links

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

Formula

Empirical: a(n) = 18*a(n-1) +162*a(n-2) -1630*a(n-3) -7292*a(n-4) +40266*a(n-5) +153218*a(n-6) -289954*a(n-7) -912699*a(n-8) +408092*a(n-9) -10757308*a(n-10) -14129504*a(n-11) +156955072*a(n-12) +97653472*a(n-13) -903632160*a(n-14) +1868643200*a(n-15) +1929652736*a(n-16) -19338232320*a(n-17) +24779127808*a(n-18) +69276303360*a(n-19) -225213616128*a(n-20) +28917637120*a(n-21) +670518738944*a(n-22) -903935393792*a(n-23) -187621441536*a(n-24) +744869068800*a(n-25) -53941895168*a(n-26) -180004847616*a(n-27) -335544320*a(n-28) +3154116608*a(n-29) for n>31

Example

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

Crossrefs

Sequence in context: A205629 A299796 A253715 * A154822 A061335 A159238

Adjacent sequences: A205328 A205329 A205330 * A205332 A205333 A205334

Keyword

nonn

Author

R. H. Hardin Jan 26 2012

Status

approved