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

1,1

Comments

Column 4 of A209047

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) +101900822*a(n-7) +392580866*a(n-8) -1523969122*a(n-9) -1305957528*a(n-10) +28806814857*a(n-11) -138610167727*a(n-12) -92479090429*a(n-13) +1908411722538*a(n-14) -4688061743329*a(n-15) +868176994167*a(n-16) +37238901400055*a(n-17) -108429686426996*a(n-18) +63224602311532*a(n-19) +146638886828725*a(n-20) -399120237191674*a(n-21) +643043970497948*a(n-22) +657212030688884*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) +57632509822517*a(n-51) +92193118733688*a(n-52) -31500301490757*a(n-53) +6805810881792*a(n-54) +8054118978759*a(n-55) +514316253699*a(n-56) -51314595768*a(n-57) +41840052498*a(n-58) +7462586376*a(n-59) +4099260312*a(n-60) -90167823*a(n-61) -35429400*a(n-62) +1062882*a(n-63)

Example

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

Crossrefs

Sequence in context: A164748 A269093 A113853 * A269272 A209015 A299951

Adjacent sequences: A209040 A209041 A209042 * A209044 A209045 A209046

Keyword

nonn

Author

R. H. Hardin Mar 04 2012

Status

approved