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A220387 Majority value maps: number of 2Xn binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..1 2Xn array 1
1, 7, 25, 79, 278, 966, 3362, 11642, 40375, 140102, 486191, 1686966, 5853300, 20309556, 70470311, 244518242, 848429087, 2943877082, 10214660764, 35442822154, 122979474647, 426714063696, 1480612045993, 5137426278616 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 2 of A220386

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +4*a(n-3) +7*a(n-4) -7*a(n-6) -19*a(n-7) -21*a(n-8) -33*a(n-9) -14*a(n-10) +a(n-11) +6*a(n-12) +45*a(n-13) +27*a(n-14) +72*a(n-15) -a(n-16) +6*a(n-17) -32*a(n-18) -16*a(n-19) -4*a(n-20) +4*a(n-22)

EXAMPLE

Some solutions for n=3

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

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

CROSSREFS

Sequence in context: A155295 A168589 A058481 * A155294 A155233 A183914

Adjacent sequences:  A220384 A220385 A220386 * A220388 A220389 A220390

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 13 2012

STATUS

approved

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Last modified January 28 04:30 EST 2022. Contains 350654 sequences. (Running on oeis4.)