A231540 Number of nX4 0..1 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors

7, 57, 589, 5235, 46122, 417298, 3763223, 33812753, 304137386, 2736503160, 24617186785, 221452701097, 1992200890271, 17921856345567, 161225002285809, 1450381306864129, 13047638550340928, 117376623779910314

Offset

1,1

Comments

Column 4 of A231544

Links

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

Formula

Empirical: a(n) = 12*a(n-1) -46*a(n-2) +247*a(n-3) -913*a(n-4) +2666*a(n-5) -7071*a(n-6) +15181*a(n-7) -23530*a(n-8) +30995*a(n-9) -54399*a(n-10) +108132*a(n-11) -128840*a(n-12) +30438*a(n-13) -132841*a(n-14) +430629*a(n-15) -489079*a(n-16) -106099*a(n-17) +229539*a(n-18) +963686*a(n-19) -1323276*a(n-20) +286563*a(n-21) +1974191*a(n-22) +235232*a(n-23) -2993175*a(n-24) +1899857*a(n-25) +4066670*a(n-26) -2080571*a(n-27) -5710365*a(n-28) +3577882*a(n-29) +2753012*a(n-30) -5039414*a(n-31) -3014036*a(n-32) +3461533*a(n-33) +311071*a(n-34) -2338502*a(n-35) +554198*a(n-36) +2657315*a(n-37) +887586*a(n-38) -1007824*a(n-39) -185358*a(n-40) +391610*a(n-41) -46088*a(n-42) -381390*a(n-43) -79106*a(n-44) +260079*a(n-45) -55416*a(n-46) -202219*a(n-47) +40939*a(n-48) +106639*a(n-49) +7882*a(n-50) -25215*a(n-51) -6892*a(n-52) +1805*a(n-53) +748*a(n-54) -17*a(n-55) +90*a(n-56) +70*a(n-57) -14*a(n-58) -16*a(n-59) +a(n-61)

Example

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

Crossrefs

Sequence in context: A062192 A122649 A051846 * A349116 A337556 A337022

Adjacent sequences: A231537 A231538 A231539 * A231541 A231542 A231543

Keyword

nonn

Author

R. H. Hardin, Nov 10 2013

Status

approved