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A240771 Number of nX3 0..3 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..3 introduced in row major order 1
2, 28, 475, 8319, 147231, 2610234, 46306024, 821735065, 14584690111, 258881423308, 4595421744553, 81575772171285, 1448115454676354, 25706831513670064, 456347578032510469, 8101099194201232529 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A240774

LINKS

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

FORMULA

Empirical: a(n) = 37*a(n-1) -470*a(n-2) +2696*a(n-3) -8168*a(n-4) +13440*a(n-5) -3283*a(n-6) -17901*a(n-7) +16963*a(n-8) -662153*a(n-9) +2664795*a(n-10) -3360533*a(n-11) +5535617*a(n-12) -10243067*a(n-13) +6443530*a(n-14) -26560330*a(n-15) +17640820*a(n-16) -2905958*a(n-17) +97439023*a(n-18) +42291829*a(n-19) +35730762*a(n-20) -151787048*a(n-21) -158957051*a(n-22) -133982717*a(n-23) +87202313*a(n-24) +159399645*a(n-25) +153736110*a(n-26) +5561244*a(n-27) -76184253*a(n-28) -59257575*a(n-29) -14782176*a(n-30) +18219168*a(n-31) +9065115*a(n-32) -1423737*a(n-33) -826686*a(n-34) for n>35

EXAMPLE

Some solutions for n=4

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

..2..0..1....1..2..3....2..3..2....3..2..0....1..2..3....2..0..3....2..1..1

..1..3..0....0..3..2....3..2..1....2..3..2....0..1..0....1..3..2....0..3..0

..0..1..3....1..2..3....2..3..2....3..1..3....3..0..1....3..1..0....1..2..1

CROSSREFS

Sequence in context: A011944 A271565 A241365 * A012745 A143585 A277309

Adjacent sequences:  A240768 A240769 A240770 * A240772 A240773 A240774

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 12 2014

STATUS

approved

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Last modified January 22 04:27 EST 2020. Contains 331133 sequences. (Running on oeis4.)