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A317372 Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1
2, 86, 529, 4811, 42512, 360940, 3113246, 26916032, 231704568, 1997823756, 17226263836, 148491065088, 1280151235952, 11036257474349, 95142240617696, 820217339795577, 7071057070996869, 60959178690213291, 525525965321704727 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A317376.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +21*a(n-2) +53*a(n-3) -257*a(n-4) -758*a(n-5) +395*a(n-6) +497*a(n-7) +1981*a(n-8) +4397*a(n-9) +6537*a(n-10) +11095*a(n-11) +994*a(n-12) +88209*a(n-13) -45457*a(n-14) -176327*a(n-15) -283227*a(n-16) -613439*a(n-17) -282844*a(n-18) -1464941*a(n-19) +1360540*a(n-20) -992020*a(n-21) +4235214*a(n-22) -1280680*a(n-23) +10886486*a(n-24) +746991*a(n-25) -11257136*a(n-26) +17416848*a(n-27) -38758434*a(n-28) +57991863*a(n-29) -84864396*a(n-30) +76820034*a(n-31) -24490696*a(n-32) -6600419*a(n-33) -3202247*a(n-34) +18456186*a(n-35) -19751439*a(n-36) +2435516*a(n-37) +381098*a(n-38) +2798783*a(n-39) -215506*a(n-40) -103936*a(n-41) -218835*a(n-42) +172509*a(n-43) -7504*a(n-44) -94212*a(n-45) +24344*a(n-46) +2839*a(n-47) -1841*a(n-48) +626*a(n-49) +122*a(n-50) for n>51

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317376.

Sequence in context: A304593 A316379 A306139 * A177318 A280551 A283945

Adjacent sequences:  A317369 A317370 A317371 * A317373 A317374 A317375

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 26 2018

STATUS

approved

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Last modified September 19 08:05 EDT 2021. Contains 347556 sequences. (Running on oeis4.)