A232025 Number of 3Xn 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors

27, 121, 852, 6443, 52680, 429976, 3466702, 27787183, 222389326, 1780673721, 14267000759, 114336941196, 916296529103, 7342802491841, 58840508065211, 471508681192630, 3778370050644605, 30277527214482376, 242625604992194944

Offset

1,1

Comments

Row 3 of A232023

Links

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

Formula

Empirical: a(n) = 27*a(n-1) -345*a(n-2) +2906*a(n-3) -18194*a(n-4) +89630*a(n-5) -358894*a(n-6) +1185747*a(n-7) -3260528*a(n-8) +7466097*a(n-9) -14160132*a(n-10) +21896170*a(n-11) -26633596*a(n-12) +23529983*a(n-13) -11654811*a(n-14) -723584*a(n-15) -1889472*a(n-16) +30150715*a(n-17) -76789441*a(n-18) +108264425*a(n-19) -86458925*a(n-20) -2171553*a(n-21) +134672418*a(n-22) -234146243*a(n-23) +241899114*a(n-24) -161267275*a(n-25) +17371932*a(n-26) +86178714*a(n-27) -121036721*a(n-28) +159172848*a(n-29) -142380806*a(n-30) +98877622*a(n-31) -56252050*a(n-32) -58219355*a(n-33) +89668896*a(n-34) -59655755*a(n-35) +88313022*a(n-36) -12314620*a(n-37) -52223803*a(n-38) -6093896*a(n-39) -8246178*a(n-40) +26031408*a(n-41) +11882831*a(n-42) +3875046*a(n-43) -10990860*a(n-44) -10242618*a(n-45) +3330927*a(n-46) +2031952*a(n-47) +1747833*a(n-48) +1001573*a(n-49) -1169345*a(n-50) -559815*a(n-51) +163580*a(n-52) +94865*a(n-53) +16502*a(n-54) -321*a(n-55) -4403*a(n-56) -1435*a(n-57) -16*a(n-58) +76*a(n-59) +28*a(n-60) +4*a(n-61) for n>64

Example

Some solutions for n=5
..1..1..1..2..0....1..1..2..2..1....2..2..2..1..0....2..0..0..1..1
..1..1..2..0..0....0..0..0..0..0....0..0..0..0..1....0..0..0..0..0
..2..2..2..1..1....0..2..2..0..0....0..0..2..1..1....1..2..0..0..2

Crossrefs

Sequence in context: A029699 A087795 A036927 * A209505 A275430 A145555

Adjacent sequences: A232022 A232023 A232024 * A232026 A232027 A232028

Keyword

nonn

Author

R. H. Hardin, Nov 17 2013

Status

approved