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A301905 Number of nX7 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero. 1
1, 10, 12, 96, 320, 1934, 8781, 49709, 253844, 1413100, 7620270, 42580016, 235818861, 1324997099, 7432214130, 41943560072, 236751899580, 1339917222874, 7587029374109, 43012592771281, 243943851904936, 1384324886282580 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 7 of A301906.

LINKS

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

FORMULA

Empirical: a(n) = 19*a(n-1) -129*a(n-2) +266*a(n-3) +1113*a(n-4) -7787*a(n-5) +16342*a(n-6) +7083*a(n-7) -129016*a(n-8) +332445*a(n-9) -231596*a(n-10) -894953*a(n-11) +2912737*a(n-12) -3222398*a(n-13) -2103447*a(n-14) +12042025*a(n-15) -15194193*a(n-16) -250412*a(n-17) +24253854*a(n-18) -27506576*a(n-19) +1889508*a(n-20) +22587616*a(n-21) -20220872*a(n-22) +2087728*a(n-23) +8489920*a(n-24) -6518528*a(n-25) +1174848*a(n-26) +1096960*a(n-27) -792192*a(n-28) +188672*a(n-29) -9216*a(n-30) for n>33

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A301906.

Sequence in context: A257039 A223150 A241252 * A167321 A258484 A116118

Adjacent sequences:  A301902 A301903 A301904 * A301906 A301907 A301908

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 28 2018

STATUS

approved

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Last modified January 22 16:25 EST 2020. Contains 331152 sequences. (Running on oeis4.)