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A282881 Number of nX4 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element. 1
2, 32, 430, 3762, 34314, 286920, 2342046, 18668994, 146171090, 1129426388, 8631205392, 65377140772, 491525631332, 3672205687546, 27287152439396, 201813637267634, 1486474449573152, 10909072654743782, 79802389614658676 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A282885.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +47*a(n-2) +124*a(n-3) -408*a(n-4) -3902*a(n-5) -15430*a(n-6) -42962*a(n-7) -94378*a(n-8) -169172*a(n-9) -254731*a(n-10) -324792*a(n-11) -346186*a(n-12) -306142*a(n-13) -226049*a(n-14) -101410*a(n-15) -32004*a(n-16) +9038*a(n-17) +56744*a(n-18) +18514*a(n-19) -78727*a(n-20) +278126*a(n-21) -491637*a(n-22) +664706*a(n-23) -600043*a(n-24) +363134*a(n-25) -86242*a(n-26) -73590*a(n-27) +88574*a(n-28) -49032*a(n-29) +20328*a(n-30) -6196*a(n-31) -2591*a(n-32) +4334*a(n-33) -1998*a(n-34) +278*a(n-35) +31*a(n-36) -40*a(n-37) +63*a(n-38) -34*a(n-39) +2*a(n-40) +4*a(n-41) -a(n-42)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A282885.

Sequence in context: A199019 A127697 A191467 * A230567 A230683 A109772

Adjacent sequences:  A282878 A282879 A282880 * A282882 A282883 A282884

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 24 2017

STATUS

approved

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Last modified September 23 17:46 EDT 2017. Contains 292362 sequences.