A281079 Number of nX7 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 1056, 9188, 30808, 89147, 231146, 566178, 1343304, 3132736, 7230554, 16583786, 37859204, 86112706, 195237270, 441322324, 994760604, 2236239158, 5014472488, 11217924498, 25041061688, 55784820452, 124041914686, 275341091110

Offset

1,2

Comments

Column 7 of A281080.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -32*a(n-2) +56*a(n-3) -48*a(n-4) +16*a(n-5) +4*a(n-8) -20*a(n-9) +26*a(n-10) +18*a(n-11) -66*a(n-12) +46*a(n-13) -8*a(n-15) -6*a(n-16) +14*a(n-17) -4*a(n-18) -12*a(n-19) -5*a(n-20) +25*a(n-21) -10*a(n-22) -6*a(n-23) +7*a(n-24) -3*a(n-25) -6*a(n-26) +10*a(n-27) -2*a(n-28) -2*a(n-29) -a(n-32) +a(n-33) for n>42

Example

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

Crossrefs

Cf. A281080.

Sequence in context: A225714 A158692 A236905 * A023072 A168627 A223294

Adjacent sequences: A281076 A281077 A281078 * A281080 A281081 A281082

Keyword

nonn

Author

R. H. Hardin, Jan 14 2017

Status

approved