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A269761
Number of n X 2 0..5 arrays with some element plus some horizontally or vertically adjacent neighbor totalling five exactly once.
1
6, 480, 17520, 524160, 14288400, 368958240, 9195061680, 223482006720, 5331222081360, 125355762453600, 2913873085171440, 67100778335162880, 1533214659516235920, 34803572453875078560, 785602378216093258800
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 42*a(n-1) - 441*a(n-2) for n>3.
Conjectures from Colin Barker, Jan 28 2019: (Start)
G.f.: 6*x*(1 + 38*x + x^2) / (1 - 21*x)^2.
a(n) = 80 * 3^(n-2) * 7^(n-3) * (31*n-20) for n>1.
(End)
EXAMPLE
Some solutions for n=3:
..5..3. .4..0. .0..4. .0..4. .2..3. .5..4. .0..3. .2..5. .4..4. .4..4
..1..4. .1..0. .0..3. .0..5. .5..5. .2..1. .1..4. .4..2. .2..5. .1..2
..3..0. .0..4. .5..3. .4..5. .1..5. .0..0. .5..5. .4..1. .0..0. .2..4
CROSSREFS
Column 2 of A269767.
Sequence in context: A220865 A080295 A084108 * A229503 A318634 A006713
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 04 2016
STATUS
approved