A231526 Number of 4Xn 0..1 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors

16, 48, 776, 7697, 70462, 680302, 6935963, 69699237, 689683944, 6830674791, 67982605070, 676834294963, 6729716953557, 66892941751789, 665135148008789, 6614505307422976, 65773605302169012, 654010196878214180

Offset

1,1

Comments

Row 4 of A231523

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -23*a(n-2) +101*a(n-3) +734*a(n-4) -4730*a(n-5) -1987*a(n-6) -2442*a(n-7) -84415*a(n-8) +350229*a(n-9) +552203*a(n-10) -823403*a(n-11) +1850494*a(n-12) -4878983*a(n-13) -13339933*a(n-14) +14208703*a(n-15) -15634346*a(n-16) +32521122*a(n-17) +144142692*a(n-18) -108237346*a(n-19) +12655781*a(n-20) -18919194*a(n-21) -670476969*a(n-22) +140762199*a(n-23) +132252292*a(n-24) +19031686*a(n-25) +1208538437*a(n-26) +185768242*a(n-27) -177024291*a(n-28) -10977187*a(n-29) -706370171*a(n-30) -253074527*a(n-31) +35399416*a(n-32) +40637687*a(n-33) +185723061*a(n-34) +69289982*a(n-35) -27812168*a(n-36) -32459184*a(n-37) -15021208*a(n-38) -1420800*a(n-39) for n>40

Example

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

Crossrefs

Sequence in context: A226966 A297460 A297697 * A329075 A041496 A059207

Adjacent sequences: A231523 A231524 A231525 * A231527 A231528 A231529

Keyword

nonn

Author

R. H. Hardin, Nov 10 2013

Status

approved