A281135 - OEIS

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A281135

Number of nX4 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.

2, 112, 1046, 2368, 5368, 12064, 27218, 61508, 137320, 303016, 661750, 1436148, 3102354, 6664604, 14249996, 30349780, 64423304, 136341644, 287731246, 605682872, 1272111378, 2666358192, 5578178044, 11649555816, 24290213802

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 4 of A281139.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +a(n-2) +a(n-4) -19*a(n-6) -8*a(n-7) +4*a(n-8) +2*a(n-9) +5*a(n-10) +44*a(n-11) +14*a(n-12) -20*a(n-13) +3*a(n-14) +20*a(n-15) -40*a(n-16) -36*a(n-17) +16*a(n-18) +12*a(n-19) -16*a(n-20) +16*a(n-22) -4*a(n-24) for n>33

EXAMPLE

Some solutions for n=4

..0..1..2..0. .0..1..0..0. .0..1..0..0. .0..1..1..2. .0..0..1..0

..2..0..2..0. .2..1..2..1. .2..2..1..2. .0..2..0..0. .1..2..1..2

..2..1..1..1. .0..2..0..0. .0..0..1..0. .1..1..2..2. .0..0..1..0

..0..0..2..2. .0..1..1..2. .1..2..2..0. .0..2..0..0. .1..2..2..0

CROSSREFS

Cf. A281139.

Sequence in context: A231278 A117698 A274057 * A173214 A341782 A024341

Adjacent sequences: A281132 A281133 A281134 * A281136 A281137 A281138

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 15 2017

STATUS

approved