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A220917 Equals one maps: number of 2Xn binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 2Xn array 1
1, 8, 37, 165, 749, 3279, 13865, 57374, 233955, 945919, 3806673, 15279785, 61241380, 245248287, 981633428, 3927941234, 15714642964, 62863639188, 251459531333, 1005822291342, 4023141288428, 16091775934984, 64363479233826 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 2 of A220916

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +4*a(n-2) -14*a(n-3) -6*a(n-4) -16*a(n-5) +47*a(n-6) -40*a(n-7) -60*a(n-8) -92*a(n-9) +8*a(n-10) -28*a(n-11) -54*a(n-12) +22*a(n-13) +62*a(n-14) -38*a(n-15) -108*a(n-16) -32*a(n-17) +54*a(n-18) +18*a(n-19) -22*a(n-20) -10*a(n-21) for n>22

EXAMPLE

Some solutions for n=3

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

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

CROSSREFS

Sequence in context: A272783 A111645 A272739 * A221891 A221063 A221633

Adjacent sequences:  A220914 A220915 A220916 * A220918 A220919 A220920

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 24 2012

STATUS

approved

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Last modified May 26 17:16 EDT 2022. Contains 354092 sequences. (Running on oeis4.)