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A240343 Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4 1
8, 78, 722, 6376, 55680, 483926, 4195892, 36331704, 314419494, 2720368268, 23533966824, 203581060386, 1761035569834, 15233285577406, 131769992524528, 1139825195601708, 9859602783973302, 85286505357091706, 737736199939312976 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A240347

LINKS

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

FORMULA

Empirical: a(n) = 18*a(n-1) -105*a(n-2) +200*a(n-3) +242*a(n-4) -2119*a(n-5) +7083*a(n-6) -9004*a(n-7) -24192*a(n-8) +72426*a(n-9) -3118*a(n-10) -103236*a(n-11) -4239*a(n-12) +64281*a(n-13) +119026*a(n-14) -161710*a(n-15) +142844*a(n-16) -25892*a(n-17) -337024*a(n-18) +223288*a(n-19) +175280*a(n-20) -145120*a(n-21) -22528*a(n-22) +23040*a(n-23)

EXAMPLE

Some solutions for n=4

..2..2..0....2..0..0....0..2..2....0..0..0....0..0..2....0..0..0....0..2..0

..2..2..0....0..0..0....0..2..0....0..2..0....2..2..0....0..2..0....0..2..0

..0..2..2....2..0..2....0..0..2....0..0..2....0..0..0....0..2..2....0..0..3

..0..0..2....2..2..0....2..0..0....0..2..1....2..0..0....2..0..0....0..0..2

CROSSREFS

Sequence in context: A328467 A202732 A222191 * A155600 A091106 A199758

Adjacent sequences:  A240340 A240341 A240342 * A240344 A240345 A240346

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 04 2014

STATUS

approved

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Last modified June 21 09:45 EDT 2021. Contains 345358 sequences. (Running on oeis4.)