A281136 Number of nX5 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

8, 504, 3460, 5368, 9484, 17592, 33199, 63976, 124361, 236858, 440416, 804942, 1465281, 2671158, 4870336, 8846774, 15982707, 28727890, 51478434, 92068606, 164424023, 293099566, 521431738, 925749102, 1640794125, 2903847314

Offset

1,1

Comments

Column 5 of A281139.

Links

R. H. Hardin, Table of n, a(n) for n = 1..250

Formula

Empirical: a(n) = 2*a(n-1) +a(n-2) -4*a(n-3) +5*a(n-4) -4*a(n-5) +5*a(n-6) -4*a(n-7) -14*a(n-8) +12*a(n-9) -13*a(n-10) +14*a(n-11) -24*a(n-12) +20*a(n-13) +9*a(n-14) +8*a(n-15) +7*a(n-16) -10*a(n-17) +20*a(n-18) -6*a(n-19) -6*a(n-20) -12*a(n-21) -9*a(n-24) for n>33

Example

Some solutions for n=4
..0..1..1..2..0. .0..1..0..1..1. .0..0..1..2..0. .0..1..2..1..2
..0..2..0..0..1. .2..2..0..2..2. .1..2..1..2..1. .2..0..0..1..0
..1..2..1..2..1. .0..1..0..1..0. .0..2..0..2..0. .1..1..2..2..0
..1..0..0..2..0. .2..1..2..1..0. .0..1..0..1..0. .2..0..0..1..1

Crossrefs

Cf. A281139.

Sequence in context: A240398 A265231 A030654 * A228292 A082385 A236077

Adjacent sequences: A281133 A281134 A281135 * A281137 A281138 A281139

Keyword

nonn

Author

R. H. Hardin, Jan 15 2017

Status

approved