login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A279868 Number of nX4 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1
6, 96, 824, 5704, 37289, 226118, 1300184, 7247300, 39307590, 208922598, 1091842999, 5627866564, 28670442976, 144606882880, 723064505682, 3588186045068, 17687435316277, 86669983177036, 422430114412562 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A279871.

LINKS

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

FORMULA

Empirical: a(n) = 24*a(n-1) -240*a(n-2) +1247*a(n-3) -3081*a(n-4) -1161*a(n-5) +33758*a(n-6) -110853*a(n-7) +155250*a(n-8) +90976*a(n-9) -934011*a(n-10) +2215284*a(n-11) -2824813*a(n-12) +1193241*a(n-13) +3174042*a(n-14) -9079122*a(n-15) +16484004*a(n-16) -31151892*a(n-17) +62715437*a(n-18) -112476918*a(n-19) +161558619*a(n-20) -178418860*a(n-21) +149979807*a(n-22) -96387564*a(n-23) +39274647*a(n-24) +48194259*a(n-25) -242347800*a(n-26) +565794600*a(n-27) -906143007*a(n-28) +1075619601*a(n-29) -960814140*a(n-30) +651296568*a(n-31) -304948416*a(n-32) -49741822*a(n-33) +504662025*a(n-34) -1149894549*a(n-35) +1815255210*a(n-36) -2154507081*a(n-37) +1942135617*a(n-38) -1155967783*a(n-39) +121512219*a(n-40) +730147767*a(n-41) -1187533515*a(n-42) +1207089672*a(n-43) -942518064*a(n-44) +611098452*a(n-45) -326931228*a(n-46) +143976978*a(n-47) -52824519*a(n-48) +13675344*a(n-49) -1900008*a(n-50) -183576*a(n-51) +402624*a(n-52) -89856*a(n-53) +6336*a(n-54) -4608*a(n-55) -4608*a(n-56) -512*a(n-57) for n>64

EXAMPLE

Some solutions for n=4

..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..1..1. .0..1..1..2

..2..2..1..1. .1..1..0..0. .1..0..0..1. .2..0..1..1. .0..1..1..2

..2..2..1..1. .1..1..1..1. .2..2..0..0. .0..0..0..0. .0..0..0..0

..0..0..1..1. .0..0..2..1. .2..2..0..0. .0..0..1..0. .0..0..2..0

CROSSREFS

Cf. A279871.

Sequence in context: A226549 A053338 A115400 * A055358 A030989 A288845

Adjacent sequences: A279865 A279866 A279867 * A279869 A279870 A279871

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 21 2016

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 December 6 16:00 EST 2022. Contains 358644 sequences. (Running on oeis4.)