A298577 - OEIS

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, 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

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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