A209043 Number of nX4 0..3 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it.

108, 13644, 1752148, 225262148, 28964458546, 3724317998214, 478881915072688, 61575811582924326, 7917568966250856112, 1018060448767393518568, 130904710995247416149996, 16832049002507023710858048

Offset: 1

Author

R. H. Hardin Mar 04 2012

Keywords

• nonn

Comments

Column 4 of A209047

Examples

			Some solutions for n=4
..1..3..2..1....3..1..2..3....2..3..1..3....2..0..1..0....0..1..0..3
..2..2..1..2....0..1..0..0....3..2..1..1....3..0..1..2....2..2..2..2
..0..2..0..3....1..0..3..0....0..2..0..1....1..3..0..0....1..1..3..2
..1..0..2..1....2..2..2..0....1..3..3..1....2..3..2..2....0..3..0..0
		

Links

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

Formula

Empirical: a(n) = 81*a(n-1) +6019*a(n-2) +17676*a(n-3) -599593*a(n-4) -4088888*a(n-5) -3730999*a(n-6) [phone]*a(n-7) [phone]*a(n-8) -1523969122*a(n-9) -1305957528*a(n-10) [phone]*a(n-11) -138610167727*a(n-12) -92479090429*a(n-13) [phone]*a(n-14) -4688061743329*a(n-15) [phone]*a(n-16) [phone]*a(n-17) -108429686426996*a(n-18) [phone]*a(n-19) [phone]*a(n-20) -399120237191674*a(n-21) [phone]*a(n-22) [phone]*a(n-23) -3350737459002767*a(n-24) -512333788345638*a(n-25) +9658795596391494*a(n-26) -7307540288812320*a(n-27) +4046894684677414*a(n-28) -49280938427249*a(n-29) -15919719904208233*a(n-30) +5309011068556252*a(n-31) -27520223522274361*a(n-32) -15861006441701489*a(n-33) +40304491599363659*a(n-34) +82471636953173637*a(n-35) +47893641143347577*a(n-36) -40160830349734528*a(n-37) -42797055661074986*a(n-38) -77937400975405899*a(n-39) -41530998228072484*a(n-40) +13888895933404573*a(n-41) +29183625221012494*a(n-42) +57292324471563068*a(n-43) +24864119964192191*a(n-44) -8835195495823362*a(n-45) -12319214526059338*a(n-46) -1662673048234914*a(n-47) +3583743936817358*a(n-48) -188032462140047*a(n-49) -184935511247693*a(n-50) [phone]*a(n-51) [phone]*a(n-52) -31500301490757*a(n-53) [phone]*a(n-54) [phone]*a(n-55) [phone]*a(n-56) -51314595768*a(n-57) [phone]*a(n-58) [phone]*a(n-59) [phone]*a(n-60) -90167823*a(n-61) -35429400*a(n-62) +1062882*a(n-63)