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A297946 Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero. 2
1, 18, 56, 219, 796, 3079, 11614, 44076, 167210, 635033, 2409994, 9147953, 34722997, 131802284, 500289672, 1898992405, 7208159665, 27360619128, 103854959332, 394210908018, 1496339057640, 5679778471327, 21559206754217, 81834071700364 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A297951.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 4*a(n-1) -2*a(n-3) -2*a(n-4) -12*a(n-5) +24*a(n-6) +3*a(n-7) -4*a(n-8) -80*a(n-9) -67*a(n-10) +37*a(n-11) +140*a(n-12) +100*a(n-13) -32*a(n-14) -67*a(n-15) -12*a(n-16) +24*a(n-17) +2*a(n-18) -12*a(n-19) -4*a(n-20) for n>21

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A297951.

Sequence in context: A041634 A044975 A251252 * A298384 A298765 A299460

Adjacent sequences:  A297943 A297944 A297945 * A297947 A297948 A297949

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 09 2018

STATUS

approved

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Last modified January 27 03:09 EST 2022. Contains 350601 sequences. (Running on oeis4.)