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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

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Last modified April 19 10:35 EDT 2019. Contains 322252 sequences. (Running on oeis4.)