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Revision History for A282476 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing all changes.
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.
(history; published version)
#4 by R. H. Hardin at Thu Feb 16 09:57:39 EST 2017
STATUS

editing

approved

#3 by R. H. Hardin at Thu Feb 16 09:57:36 EST 2017
LINKS

R. H. Hardin, <a href="/A282476/b282476.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Thu Feb 16 09:57:17 EST 2017
NAME

allocated for R. H. Hardin

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.

DATA

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

OFFSET

1,2

COMMENTS

Column 3 of A282481.

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.

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Feb 16 2017

STATUS

approved

editing

#1 by R. H. Hardin at Thu Feb 16 09:54:35 EST 2017
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved