A281762 Number of nX5 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

5, 110, 609, 2808, 12191, 49986, 201450, 795220, 3098932, 11944444, 45648773, 173194466, 653072024, 2449607050, 9146028282, 34010834368, 126024445869, 465494253234, 1714507604630, 6298717534388, 23086454425976, 84439440608072

Offset

1,1

Comments

Column 5 of A281765.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -29*a(n-2) +2*a(n-3) +52*a(n-4) +170*a(n-5) -239*a(n-6) -674*a(n-7) +73*a(n-8) +1874*a(n-9) +1456*a(n-10) -3556*a(n-11) -2269*a(n-12) +228*a(n-13) +7955*a(n-14) -1394*a(n-15) -5270*a(n-16) -4208*a(n-17) -6664*a(n-18) +6626*a(n-19) +10430*a(n-20) +21576*a(n-21) -48939*a(n-22) +56684*a(n-23) -32865*a(n-24) +17584*a(n-25) +71780*a(n-26) -98666*a(n-27) +76825*a(n-28) -82636*a(n-29) -20094*a(n-30) -4536*a(n-31) -85926*a(n-32) -352*a(n-33) -69440*a(n-34) -14036*a(n-35) -30493*a(n-36) -20432*a(n-37) -9763*a(n-38) -14256*a(n-39) -787*a(n-40) -5248*a(n-41) -1167*a(n-42) -738*a(n-43) -218*a(n-44) +76*a(n-45) -209*a(n-46) +120*a(n-47) -16*a(n-48) for n>57

Example

Some solutions for n=4
..0..1..1..0..0. .0..1..1..1..1. .0..1..1..1..1. .0..0..0..1..1
..1..0..0..1..0. .1..0..0..0..0. .1..0..0..0..0. .0..0..0..0..1
..0..1..1..0..1. .0..1..1..0..0. .0..1..1..0..0. .1..0..0..1..0
..1..0..1..1..0. .0..0..1..1..1. .1..1..1..1..1. .0..1..1..0..1

Crossrefs

Cf. A281765.

Sequence in context: A244004 A003465 A177680 * A265082 A215786 A053133

Adjacent sequences: A281759 A281760 A281761 * A281763 A281764 A281765

Keyword

nonn

Author

R. H. Hardin, Jan 29 2017

Status

approved