A188750 Number of 5Xn binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally

24, 576, 9504, 176002, 3283906, 60714322, 1127318294, 20939826298, 388867222760, 7222456829200, 134147557893368, 2491616383146400, 46278849344155436, 859576817744096818, 15965664732975667282, 296544220226026744002

Offset

1,1

Comments

Row 5 of A188747

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 23*a(n-1) -70*a(n-2) -296*a(n-3) +2160*a(n-4) -14475*a(n-5) +17757*a(n-6) -1140806*a(n-7) +3091958*a(n-8) +12909222*a(n-9) -21584968*a(n-10) +52956008*a(n-11) -238059780*a(n-12) -437747824*a(n-13) +383951904*a(n-14) +179875536*a(n-15) +5217136240*a(n-16) +2716595936*a(n-17) +8603806528*a(n-18) -9963475328*a(n-19) -47487929344*a(n-20) -70724703488*a(n-21) -66827979008*a(n-22) +90736826112*a(n-23) +204642169856*a(n-24) +311200557056*a(n-25) +128833723392*a(n-26) -350912552960*a(n-27) -222173790208*a(n-28) +23629496320*a(n-29) -7108034560*a(n-30) +68068900864*a(n-31) +34536947712*a(n-32) -23668457472*a(n-33)

Example

Some solutions for 5X3
..0..1..0....0..1..1....1..0..0....1..0..0....1..1..0....0..1..1....0..1..1
..1..0..1....0..0..1....0..0..0....0..0..1....0..0..0....0..0..0....1..1..0
..1..0..0....0..1..0....0..1..1....0..0..1....0..0..0....0..1..1....0..0..1
..0..0..1....0..0..1....0..0..1....1..1..0....1..0..0....0..0..0....1..0..1
..0..0..1....1..0..0....1..1..0....0..0..1....0..1..0....0..0..1....0..0..0

Crossrefs

Sequence in context: A188563 A207085 A207179 * A267962 A188870 A171298

Adjacent sequences: A188747 A188748 A188749 * A188751 A188752 A188753

Keyword

nonn

Author

R. H. Hardin Apr 09 2011

Status

approved