A214241 Number of 0..7 colorings of a 3X(n+1) array circular in the n+1 direction with new values 0..7 introduced in row major order

34, 1067, 175884, 35910351, 8769708263, 2254551356877, 590331473158067, 155477068701032105, 41028544677007946452, 10833921344703864397903, 2861400614608678698335420, 755792780104880516509618185

Offset

1,1

Comments

Row 3 of A214238

Links

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

Formula

Empirical: a(n) = 265*a(n-1) +7554*a(n-2) -1867528*a(n-3) -62286057*a(n-4) +2902611121*a(n-5) +125747697424*a(n-6) -732113570102*a(n-7) -67260892111454*a(n-8) -28753862898414*a(n-9) +16985526470239324*a(n-10) +12070258654217672*a(n-11) -2554590879317240826*a(n-12) +2435808355474168314*a(n-13) +237264509331309926184*a(n-14) -768620584759884219588*a(n-15) -12656274586202957694069*a(n-16) +75222969631103645589813*a(n-17) +300273533556710255969314*a(n-18) -3426282900760196815061968*a(n-19) +1862684826195514563217827*a(n-20) +70885929438360326385660853*a(n-21) -229410610506591319332092040*a(n-22) -425685472758512549909477110*a(n-23) +3737448111891699239791610708*a(n-24) -4815222803627645788473735088*a(n-25) -16748767647665181833592963760*a(n-26) +61095743994656339686489703424*a(n-27) -41788255438436976273164042560*a(n-28) -117168547187900314567721804288*a(n-29) +240100016620055726181856792320*a(n-30) -73485025369404006627834739200*a(n-31) -196400767199257030843351277568*a(n-32) +186930489790667567608894439424*a(n-33) -3635545149158889430089400320*a(n-34) -52199287054967923365829017600*a(n-35) +14963130776265241412763648000*a(n-36)

Example

Some solutions for n=4
..0..1..0..1..2....0..1..0..1..2....0..1..2..0..2....0..1..0..1..2
..1..0..1..2..3....1..0..1..0..3....1..0..1..2..0....1..2..1..0..3
..0..2..3..4..1....2..1..0..1..4....0..1..0..1..2....2..3..0..4..5

Crossrefs

Sequence in context: A275294 A296724 A214190 * A162838 A163217 A163593

Adjacent sequences: A214238 A214239 A214240 * A214242 A214243 A214244

Keyword

nonn

Author

R. H. Hardin Jul 08 2012

Status

approved