STATUS
editing
approved
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Revision History for A299509
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Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
(history; published version)
(history; published version)
LINKS
R. H. Hardin, <a href="/A299509/b299509.txt">Table of n, a(n) for n = 1..210</a>
NAME
allocated for R. H. Hardin
Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
DATA
1, 7, 15, 29, 63, 167, 477, 1233, 3265, 8727, 23041, 61427, 163443, 434073, 1154961, 3071109, 8165955, 21718237, 57753279, 153583907, 408435961, 1086155913, 2888454053, 7681365667, 20427272161, 54322941315, 144462750163, 384174434645
OFFSET
1,2
COMMENTS
Column 3 of A299514.
FORMULA
Empirical: a(n) = 5*a(n-1) -7*a(n-2) +4*a(n-3) -12*a(n-4) +25*a(n-5) -22*a(n-6) +8*a(n-7) +9*a(n-8) -7*a(n-9) +13*a(n-10) -50*a(n-11) +64*a(n-12) -39*a(n-13) +10*a(n-15) for n>17
EXAMPLE
Some solutions for n=9
..0..1..0. .0..1..0. .0..0..1. .0..1..0. .0..1..0. .0..1..0. .0..1..1
..1..0..1. .1..0..1. .1..1..0. .0..1..0. .1..0..1. .0..1..0. .0..1..0
..0..1..0. .0..0..0. .1..0..1. .0..1..0. .0..1..0. .1..1..1. .1..0..1
..1..1..1. .0..0..0. .0..0..0. .1..1..1. .1..0..1. .1..1..1. .0..0..0
..1..1..1. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .1..1..1. .0..0..0
..1..1..1. .1..0..1. .0..0..0. .1..1..1. .0..0..0. .0..1..0. .0..0..0
..1..1..1. .1..0..1. .0..0..0. .1..1..1. .0..0..0. .1..0..0. .0..0..0
..0..1..0. .1..0..1. .1..0..1. .0..1..0. .1..0..1. .0..0..0. .1..0..1
..0..1..0. .1..0..1. .1..0..1. .1..0..1. .0..1..0. .1..1..0. .1..0..1
CROSSREFS
Cf. A299514.
KEYWORD
allocated
nonn
AUTHOR
R. H. Hardin, Feb 11 2018
STATUS
approved
editing
NAME
allocated for R. H. Hardin
KEYWORD
allocated
STATUS
approved