The On-Line Encyclopedia of Integer Sequences (OEIS)

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A298180

Number of nX5 0..1 arrays with every element equal to 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
(history; published version)

#4 by R. H. Hardin at Sun Jan 14 09:28:51 EST 2018

STATUS

editing

approved

#3 by R. H. Hardin at Sun Jan 14 09:28:48 EST 2018

LINKS

R. H. Hardin, <a href="/A298180/b298180.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Sun Jan 14 09:28:32 EST 2018

NAME

allocated for R. H. Hardin

Number of nX5 0..1 arrays with every element equal to 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

DATA

0, 3, 3, 6, 15, 27, 54, 117, 237, 508, 1073, 2261, 4852, 10375, 22175, 47602, 102187, 219583, 472170, 1015449, 2185065, 4703176, 10124077, 21797129, 46934664, 101069563, 217658203, 468756814, 1009568519, 2174384483, 4683219582

OFFSET

1,2

COMMENTS

Column 5 of A298183.

FORMULA

Empirical: a(n) = 2*a(n-1) +a(n-2) +a(n-3) -2*a(n-4) -5*a(n-5) -6*a(n-6) -4*a(n-7) +14*a(n-8) +6*a(n-9) -2*a(n-10)

EXAMPLE

Some solutions for n=7

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

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

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

CROSSREFS

Cf. A298183.

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Jan 14 2018

STATUS

approved

editing

#1 by R. H. Hardin at Sun Jan 14 09:25:50 EST 2018

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved