A282476 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A282476

Number of nX3 0..1 arrays with no 1 equal to more than three of its king-move neighbors, with the exception of exactly two elements.

0, 5, 40, 483, 4328, 36425, 297210, 2327123, 17768964, 132986406, 978703597, 7105001436, 50987747977, 362304776490, 2552515814181, 17848926362232, 123989575656587, 856256223208439, 5882111754640392, 40216030450523925

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

OFFSET

1,2

COMMENTS

Column 3 of A282481.

LINKS

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

FORMULA

Empirical: a(n) = 15*a(n-1) -60*a(n-2) +38*a(n-3) -417*a(n-4) +2211*a(n-5) +254*a(n-6) +9714*a(n-7) -19866*a(n-8) +11292*a(n-9) -83508*a(n-10) +94758*a(n-11) -162290*a(n-12) +333372*a(n-13) -354804*a(n-14) +698218*a(n-15) -723297*a(n-16) +960537*a(n-17) -1190332*a(n-18) +1011360*a(n-19) -1264665*a(n-20) +756661*a(n-21) -868110*a(n-22) +386904*a(n-23) -278456*a(n-24) +47328*a(n-25) -2976*a(n-26) +64*a(n-27)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A282481.

Sequence in context: A090362 A201366 A281160 * A198247 A088695 A365779

Adjacent sequences: A282473 A282474 A282475 * A282477 A282478 A282479

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 16 2017

STATUS

approved