A295842 - OEIS

A295842

Number of n X 3 0..1 arrays with each 1 adjacent to 1 or 2 king-move neighboring 1s.

4, 29, 104, 467, 2197, 9645, 43335, 195508, 876170, 3935424, 17683045, 79404264, 356636392, 1601851743, 7194361447, 32312564136, 145128246079, 651823344848, 2927580000227, 13148849554269, 59056335597781, 265243849656279

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OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) + a(n-2) + 12*a(n-3) - 30*a(n-4) + 3*a(n-5) - 6*a(n-6) + 6*a(n-7) + 5*a(n-8) + 2*a(n-9).

Empirical g.f.: x*(4 + 13*x - 16*x^2 - 26*x^3 - 3*x^4 + 11*x^6 + 7*x^7 + 2*x^8) / (1 - 4*x - x^2 - 12*x^3 + 30*x^4 - 3*x^5 + 6*x^6 - 6*x^7 - 5*x^8 - 2*x^9). - Colin Barker, Feb 22 2019

EXAMPLE

Some solutions for n=7:

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

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

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

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

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

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

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

CROSSREFS

Column 3 of A295847.

Sequence in context: A024394 A199399 A211545 * A345897 A368372 A372424

Adjacent sequences: A295839 A295840 A295841 * A295843 A295844 A295845

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 29 2017

STATUS

approved