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A296400
Number of nX3 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 or 3 neighboring 1s.
1
1, 8, 24, 82, 316, 1182, 4560, 17508, 67310, 259398, 999368, 3851828, 14846772, 57226834, 220589358, 850295818, 3277615080, 12634174925, 48700783032, 187726368115, 723626846696, 2789356995974, 10752106442068, 41446037382414
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OFFSET
1,2
COMMENTS
Column 3 of
A296405
.
LINKS
R. H. Hardin,
Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 5*a(n-1) -6*a(n-2) +8*a(n-3) -10*a(n-4) +22*a(n-5) -50*a(n-6) +37*a(n-7) -59*a(n-8) -3*a(n-10) -50*a(n-11) +10*a(n-12) -36*a(n-13) -17*a(n-14) -7*a(n-15) -19*a(n-16) -7*a(n-17) -4*a(n-18) -4*a(n-19) -a(n-20)
EXAMPLE
Some solutions for n=7
..1..1..1. .0..1..1. .1..1..0. .0..1..1. .0..0..0. .0..1..0. .1..1..1
..1..0..1. .0..1..0. .1..0..0. .1..1..0. .0..0..0. .1..1..0. .1..0..1
..1..1..0. .1..0..0. .1..1..1. .0..0..0. .0..0..0. .0..1..1. .0..0..1
..0..0..0. .1..1..0. .0..1..0. .1..1..0. .1..1..1. .0..0..1. .0..1..0
..1..1..1. .0..1..1. .0..0..0. .1..1..1. .1..0..1. .0..1..1. .1..0..1
..1..0..1. .1..0..1. .0..0..0. .0..0..1. .0..1..0. .1..0..1. .1..1..1
..1..1..1. .1..1..1. .0..0..0. .0..1..1. .1..1..0. .1..1..1. .0..0..0
CROSSREFS
Cf.
A296405
.
Sequence in context:
A141317
A146534
A180888
*
A297808
A097544
A128688
Adjacent sequences:
A296397
A296398
A296399
*
A296401
A296402
A296403
KEYWORD
nonn
AUTHOR
R. H. Hardin
, Dec 11 2017
STATUS
approved
