The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 07 2013
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 15 19:43 EDT 2024. Contains 373410 sequences. (Running on oeis4.)