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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 1
12, 51, 301, 1934, 12150, 78028, 503290, 3300161, 21613114, 142211597, 935498770, 6162356043, 40586946972, 267431775698, 1762039513414, 11611113184810, 76511018946858, 504186073584110, 3322423043189704, 21893946278661421 (list; graph; refs; listen; history; text; internal format)
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: A200887 A236770 A115680 * A231359 A066757 A225306

Adjacent sequences:  A231295 A231296 A231297 * A231299 A231300 A231301

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 07 2013

STATUS

approved

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Last modified December 13 03:41 EST 2019. Contains 329968 sequences. (Running on oeis4.)