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A300939 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
3, 2, 5, 12, 19, 47, 101, 206, 411, 882, 1851, 3845, 7965, 16694, 34883, 72716, 151521, 316419, 660399, 1377674, 2873815, 5997158, 12513837, 26109233, 54474709, 113665030, 237165643, 494844028, 1032487175, 2154302515, 4494977409 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A300944.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +3*a(n-2) -5*a(n-3) -2*a(n-4) -3*a(n-5) -a(n-6) +22*a(n-7) +7*a(n-8) -33*a(n-9) -28*a(n-10) +11*a(n-11) +50*a(n-12) +40*a(n-13) -50*a(n-14) -82*a(n-15) +3*a(n-16) +96*a(n-17) +79*a(n-18) -49*a(n-19) -85*a(n-20) -9*a(n-21) +46*a(n-22) +55*a(n-23) +17*a(n-24) -28*a(n-25) -31*a(n-26) -11*a(n-27) +a(n-28) +5*a(n-29) +4*a(n-30) +a(n-31) for n>32

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A300944.

Sequence in context: A093924 A130597 A075146 * A062941 A211018 A290427

Adjacent sequences:  A300936 A300937 A300938 * A300940 A300941 A300942

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 16 2018

STATUS

approved

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Last modified October 26 11:29 EDT 2020. Contains 338027 sequences. (Running on oeis4.)