The On-Line Encyclopedia of Integer Sequences (OEIS)

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A298959

Number of nX4 0..1 arrays with every element equal to 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
(history; published version)

#4 by R. H. Hardin at Tue Jan 30 13:11:44 EST 2018

STATUS

editing

approved

#3 by R. H. Hardin at Tue Jan 30 13:11:41 EST 2018

LINKS

R. H. Hardin, <a href="/A298959/b298959.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Tue Jan 30 13:11:24 EST 2018

NAME

allocated for R. H. Hardin

Number of nX4 0..1 arrays with every element equal to 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

DATA

0, 2, 2, 7, 14, 34, 75, 174, 396, 907, 2070, 4734, 10819, 24730, 56520, 129187, 295274, 674890, 1542547, 3525702, 8058468, 18418715, 42098446, 96221670, 219927587, 502674114, 1148929360, 2626032755, 6002151458, 13718725330, 31355993907

OFFSET

1,2

COMMENTS

Column 4 of A298963.

FORMULA

Empirical: a(n) = 2*a(n-1) +a(n-3) +2*a(n-4) -2*a(n-5)

EXAMPLE

Some solutions for n=5

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

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

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

CROSSREFS

Cf. A298963.

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Jan 30 2018

STATUS

approved

editing

#1 by R. H. Hardin at Tue Jan 30 13:09:20 EST 2018

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved