A280807 Number of nX5 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 72, 1578, 9715, 41931, 155560, 521862, 1635481, 4878157, 14014639, 39104351, 106631105, 285454905, 752759713, 1960409283, 5051884455, 12901249792, 32688874902, 82257457021, 205730877021, 511748655573, 1266736498098

Offset

1,2

Comments

Column 5 of A280810.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -72*a(n-2) +220*a(n-3) -400*a(n-4) +432*a(n-5) -250*a(n-6) +10*a(n-7) +183*a(n-8) -249*a(n-9) -51*a(n-10) +573*a(n-11) -687*a(n-12) +351*a(n-13) -108*a(n-14) -36*a(n-15) +225*a(n-16) -57*a(n-17) -370*a(n-18) +334*a(n-19) +3*a(n-20) +9*a(n-21) -132*a(n-22) +12*a(n-23) +18*a(n-24) +120*a(n-25) -69*a(n-26) -73*a(n-27) +16*a(n-28) +78*a(n-29) -29*a(n-30) -25*a(n-31) +18*a(n-33) -3*a(n-34) -3*a(n-35) -a(n-36) +a(n-37) for n>46

Example

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

Crossrefs

Cf. A280810.

Sequence in context: A037251 A352994 A234209 * A268749 A008659 A263974

Adjacent sequences: A280804 A280805 A280806 * A280808 A280809 A280810

Keyword

nonn

Author

R. H. Hardin, Jan 08 2017

Status

approved