A231298 Number of (n+1)X(4+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order

12, 51, 301, 1934, 12150, 78028, 503290, 3300161, 21613114, 142211597, 935498770, 6162356043, 40586946972, 267431775698, 1762039513414, 11611113184810, 76511018946858, 504186073584110, 3322423043189704, 21893946278661421

Offset

1,1

Comments

Column 4 of A231302

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -6*a(n-2) -283*a(n-3) +788*a(n-4) +1675*a(n-5) -8932*a(n-6) +5485*a(n-7) +18629*a(n-8) -33114*a(n-9) +81726*a(n-10) -326060*a(n-11) +421899*a(n-12) +1555711*a(n-13) -6914016*a(n-14) +7018047*a(n-15) +17608661*a(n-16) -63394302*a(n-17) +61686396*a(n-18) +74583820*a(n-19) -279372999*a(n-20) +265580931*a(n-21) +162521882*a(n-22) -728610637*a(n-23) +860650531*a(n-24) -343871162*a(n-25) -394103954*a(n-26) +814284480*a(n-27) -807256875*a(n-28) +438672649*a(n-29) +77762292*a(n-30) -327929903*a(n-31) +530712612*a(n-32) -717873113*a(n-33) +747717214*a(n-34) -800169317*a(n-35) +391145907*a(n-36) +266147114*a(n-37) -740773130*a(n-38) +843008816*a(n-39) -404393152*a(n-40) -64001120*a(n-41) +251054400*a(n-42) -167769600*a(n-43) +34560000*a(n-44) for n>48

Example

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

Crossrefs

Sequence in context: A236770 A334695 A115680 * A231359 A066757 A225306

Adjacent sequences: A231295 A231296 A231297 * A231299 A231300 A231301

Keyword

nonn

Author

R. H. Hardin, Nov 07 2013

Status

approved