A219738 Unmatched value maps: number of nX5 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..1 nX5 array

12, 60, 387, 2229, 13322, 78661, 466288, 2760690, 16350693, 96830726, 573456240, 3396136349, 20112704280, 119112043349, 705408898268, 4177593432263, 24740667779362, 146519915909536, 867724589734469, 5138864287202152

Offset

1,1

Comments

Column 5 of A219741

Links

R. H. Hardin, Table of n, a(n) for n = 1..69

Formula

Empirical: a(n) = a(n-1) +21*a(n-2) +48*a(n-3) +14*a(n-4) -69*a(n-5) -38*a(n-6) +68*a(n-7) +13*a(n-8) -57*a(n-9) +37*a(n-10) -8*a(n-11) -2*a(n-12) +a(n-13) for n>14

Zeilberger's Maple code (see links in A228285) would give a proof that this recurrence is correct. - N. J. A. Sloane, Aug 22 2013

Example

Some solutions for n=3
..0..1..0..0..0....0..1..0..0..0....1..0..1..0..0....0..0..1..0..0
..0..0..1..0..0....0..0..0..0..1....0..0..0..0..0....0..0..0..0..1
..1..0..0..1..0....0..1..0..0..0....1..0..1..0..0....0..1..0..0..0

Crossrefs

Sequence in context: A053533 A309309 A324946 * A309308 A127869 A012518

Adjacent sequences: A219735 A219736 A219737 * A219739 A219740 A219741

Keyword

nonn

Author

R. H. Hardin Nov 26 2012

Status

approved