A214145 Number of 0..4 colorings of a 4X(n+1) array circular in the n+1 direction with new values 0..4 introduced in row major order

380, 16388, 3221873, 396246659, 56449101747, 7658621867351, 1056293079317795, 144866445686609006, 19906698818498055530, 2733599910467754593210, 375469153158053812612715, 51567627234474699175231066

Offset

1,1

Comments

Row 4 of A214141

Links

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

Formula

Empirical: a(n) = 98*a(n-1) +7347*a(n-2) -224778*a(n-3) -7728704*a(n-4) +262962206*a(n-5) +1393225336*a(n-6) -119191836900*a(n-7) +903246007088*a(n-8) +15160938917982*a(n-9) -275603342577492*a(n-10) +682387054022690*a(n-11) +15561944299486025*a(n-12) -115827362546126062*a(n-13) -212490962883374739*a(n-14) +4823062494960309260*a(n-15) -7095359819344029228*a(n-16) -99434265775360806832*a(n-17) +328551695701192183392*a(n-18) +1138114424426882557728*a(n-19) -6053645101474951208480*a(n-20) -6708619509298241221600*a(n-21) +65396272713151068067952*a(n-22) +5364285677369375777088*a(n-23) -453472228704354241414400*a(n-24) +214492166017309520360960*a(n-25) +2067855900666101449624832*a(n-26) -1661157783236876092106752*a(n-27) -6139414492176949529923584*a(n-28) +6192595052837124164186112*a(n-29) +11391038825017579755356160*a(n-30) -12973302568874201052119040*a(n-31) -12149182632175329849245696*a(n-32) +14864624252513466776027136*a(n-33) +6334860565035363128573952*a(n-34) -8132689024636326160367616*a(n-35) -1111349824406251383029760*a(n-36) +1495738851120218709688320*a(n-37)

Example

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

Crossrefs

Sequence in context: A233952 A259520 A188307 * A185493 A023910 A035845

Adjacent sequences: A214142 A214143 A214144 * A214146 A214147 A214148

Keyword

nonn

Author

R. H. Hardin Jul 05 2012

Status

approved