A299577 - OEIS

A299577

Number of nX4 0..1 arrays with every element equal to 0, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

1, 2, 10, 19, 43, 126, 327, 860, 2401, 6733, 19276, 56854, 170587, 522852, 1632646, 5173538, 16613698, 53913576, 176426909, 581193795, 1924382814, 6396881174, 21327642430, 71268470862, 238556249725, 799536020039, 2682253334049

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OFFSET

1,2

COMMENTS

Column 4 of A299581.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +6*a(n-2) -2*a(n-3) -46*a(n-4) -33*a(n-5) +34*a(n-6) +169*a(n-7) +146*a(n-8) +87*a(n-9) -249*a(n-10) -450*a(n-11) -422*a(n-12) -8*a(n-13) +214*a(n-14) +373*a(n-15) +639*a(n-16) +277*a(n-17) +99*a(n-18) -223*a(n-19) -151*a(n-20) -392*a(n-21) -186*a(n-22) -30*a(n-23) -34*a(n-24) +57*a(n-25) +91*a(n-26) +60*a(n-27) +a(n-28) +37*a(n-29) -13*a(n-31) -7*a(n-33) -3*a(n-34)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299581.

Sequence in context: A226179 A030570 A039560 * A259096 A317859 A342543

Adjacent sequences: A299574 A299575 A299576 * A299578 A299579 A299580

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 13 2018

STATUS

approved