A281561 Number of nX6 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 602, 6955, 31300, 119319, 347316, 919632, 2383814, 5976640, 14598286, 35175288, 83613676, 196571618, 458419980, 1060698064, 2437549026, 5570652900, 12665304066, 28661072928, 64595129810, 145037546414, 324538926816

Offset

1,2

Comments

Column 6 of A281563.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +10*a(n-3) -38*a(n-4) +34*a(n-5) +10*a(n-6) +73*a(n-7) -17*a(n-8) -173*a(n-9) -95*a(n-10) -32*a(n-11) +258*a(n-12) +387*a(n-13) +108*a(n-14) -244*a(n-15) -604*a(n-16) -538*a(n-17) +264*a(n-18) +609*a(n-19) +474*a(n-20) +335*a(n-21) -352*a(n-22) -742*a(n-23) -197*a(n-24) +184*a(n-25) +172*a(n-26) +243*a(n-27) +90*a(n-28) -162*a(n-29) -108*a(n-30) +27*a(n-31) +27*a(n-32) for n>52

Example

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

Crossrefs

Cf. A281563.

Sequence in context: A268588 A251462 A356893 * A184193 A218650 A218180

Adjacent sequences: A281558 A281559 A281560 * A281562 A281563 A281564

Keyword

nonn

Author

R. H. Hardin, Jan 24 2017

Status

approved