A281077 - OEIS

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A281077

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 one element, and with new values introduced in order 0 sequentially upwards.

0, 92, 894, 3330, 10954, 32244, 89147, 236332, 609693, 1542674, 3849427, 9505656, 23280649, 56635936, 137005695, 329823586, 790661565, 1888351302, 4495083545, 10668575466, 25253243659, 59632117024, 140504745763, 330394273406

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OFFSET

1,2

COMMENTS

Column 5 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-6) -20*a(n-7) +26*a(n-8) +18*a(n-9) -66*a(n-10) +46*a(n-11) -6*a(n-12) +6*a(n-13) -4*a(n-14) -12*a(n-15) -5*a(n-16) +25*a(n-17) -6*a(n-18) -10*a(n-19) -3*a(n-20) +11*a(n-21) -2*a(n-22) -2*a(n-23) -a(n-24) +a(n-25) for n>32

EXAMPLE

Some solutions for n=4

..0..0..1..1..1. .0..0..1..1..0. .0..0..1..1..0. .0..1..0..0..1

..1..1..0..0..1. .0..1..0..1..1. .1..1..0..1..0. .1..0..1..0..1

..0..0..1..0..0. .1..0..1..0..1. .1..0..1..0..1. .0..1..1..0..1

..1..0..1..1..0. .1..1..0..0..1. .0..1..0..1..0. .0..0..1..0..0

CROSSREFS

Cf. A281080.

Sequence in context: A355622 A231300 A176630 * A207061 A279913 A172449

Adjacent sequences: A281074 A281075 A281076 * A281078 A281079 A281080

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 14 2017

STATUS

approved