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A231540 Number of nX4 0..1 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors 1
7, 57, 589, 5235, 46122, 417298, 3763223, 33812753, 304137386, 2736503160, 24617186785, 221452701097, 1992200890271, 17921856345567, 161225002285809, 1450381306864129, 13047638550340928, 117376623779910314 (list; graph; refs; listen; history; text; internal format)
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 * A316442 A289876 A290847

Adjacent sequences:  A231537 A231538 A231539 * A231541 A231542 A231543

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 10 2013

STATUS

approved

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Last modified January 22 07:39 EST 2020. Contains 331139 sequences. (Running on oeis4.)