A240785 - OEIS

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A240785

Number of 4Xn 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order

8, 34, 97, 305, 959, 3033, 9581, 30354, 96122, 304551, 964960, 3057691, 9689250, 30704176, 97298863, 308333649, 977091497, 3096352093, 9812187127, 31094352992, 98536547134, 312257747281, 989530396718, 3135776321313, 9937131194560

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Row 4 of A240783

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) -11*a(n-2) +7*a(n-3) -10*a(n-5) +13*a(n-6) -3*a(n-7) +27*a(n-8) -44*a(n-9) +13*a(n-10) +5*a(n-11) -8*a(n-12) +8*a(n-13) -3*a(n-14) +a(n-15)

EXAMPLE

Some solutions for n=4

..0..0..1..0....0..1..1..0....0..1..0..1....0..0..1..0....0..1..0..1

..0..0..1..1....1..1..1..0....1..1..0..1....0..0..1..0....0..1..1..0

..1..0..0..1....1..1..0..1....1..1..0..1....1..1..0..0....0..1..1..1

..1..0..0..1....0..1..0..1....1..0..1..0....1..1..0..0....1..0..1..1

CROSSREFS

Sequence in context: A298140 A301887 A208639 * A066804 A033455 A172202

Adjacent sequences: A240782 A240783 A240784 * A240786 A240787 A240788

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 12 2014

STATUS

approved