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A300317 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1
5, 16, 61, 735, 3486, 25797, 203113, 1378779, 10140973, 75190617, 542109614, 3972097115, 29113049465, 212286481470, 1552987320773, 11358909039391, 83004860334195, 606949455081339, 4437798722528968, 32442321501971416 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A300321.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +17*a(n-2) +58*a(n-3) -723*a(n-4) -1474*a(n-5) +2196*a(n-6) +22381*a(n-7) +33196*a(n-8) -74444*a(n-9) -304846*a(n-10) -304618*a(n-11) +729107*a(n-12) +2155348*a(n-13) +1029883*a(n-14) -3952392*a(n-15) -7637046*a(n-16) +715694*a(n-17) +13481890*a(n-18) +8555164*a(n-19) -11449768*a(n-20) -17902612*a(n-21) +4961008*a(n-22) +20105667*a(n-23) +3790762*a(n-24) -14046982*a(n-25) -12943012*a(n-26) +3898385*a(n-27) +15098585*a(n-28) +6519939*a(n-29) -6343052*a(n-30) -9682129*a(n-31) -1312670*a(n-32) +5033072*a(n-33) +1370029*a(n-34) -1279682*a(n-35) -258338*a(n-36) +223424*a(n-37) -7704*a(n-38) -21248*a(n-39) +9856*a(n-40) for n>43

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A300321.

Sequence in context: A189450 A180719 A343164 * A307469 A197549 A034532

Adjacent sequences:  A300314 A300315 A300316 * A300318 A300319 A300320

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 02 2018

STATUS

approved

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Last modified October 15 17:45 EDT 2021. Contains 348033 sequences. (Running on oeis4.)