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A239033 Number of 6 X n 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of the elements above it, modulo 3. 1
8, 43, 212, 806, 2592, 7265, 18362, 42809, 93464, 193157, 380900, 721154, 1317296, 2330727, 4007402, 6713945, 10985936, 17591423, 27613220, 42554102, 64469600, 96133733, 141243690, 204670193, 292761032, 413706065, 577972820, 798822722 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = (1/8640)*n^9 - (61/20160)*n^8 + (263/3360)*n^7 - (1439/1440)*n^6 + (29843/2880)*n^5 - (194227/2880)*n^4 + (668597/2160)*n^3 - (1477657/1680)*n^2 + (59263/42)*n - 943 for n>2.

Conjectures from Colin Barker, Oct 25 2018: (Start)

G.f.: x*(8 - 37*x + 142*x^2 - 339*x^3 + 592*x^4 - 811*x^5 + 996*x^6 - 1020*x^7 + 792*x^8 - 377*x^9 + 88*x^10 + 8*x^11) / (1 - x)^10.

a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10) for n>12.

(End)

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

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

CROSSREFS

Row 6 of A239030.

Sequence in context: A227209 A282523 A099253 * A034361 A117617 A111365

Adjacent sequences:  A239030 A239031 A239032 * A239034 A239035 A239036

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 09 2014

STATUS

approved

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Last modified May 17 12:55 EDT 2021. Contains 343971 sequences. (Running on oeis4.)