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A298577 Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 1
1, 7, 15, 25, 47, 113, 261, 601, 1397, 3223, 7501, 17523, 40935, 95683, 223799, 523857, 1226779, 2873985, 6734933, 15786173, 37008905, 86776771, 203494869, 477250155, 1119367539, 2625588427, 6158890175, 14447602189, 33892459607, 79509969725 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A298582.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) -a(n-3) -7*a(n-4) +2*a(n-5) -2*a(n-6) +4*a(n-7) -3*a(n-8) +13*a(n-9) +8*a(n-10) -5*a(n-11) -15*a(n-12) +4*a(n-14) for n>15

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A298582.

Sequence in context: A236582 A268662 A297954 * A299569 A260558 A154935

Adjacent sequences:  A298574 A298575 A298576 * A298578 A298579 A298580

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 22 2018

STATUS

approved

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Last modified August 13 18:03 EDT 2022. Contains 356107 sequences. (Running on oeis4.)