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A214116 Number of 0..3 colorings of a 5X(n+1) array circular in the n+1 direction with new values 0..3 introduced in row major order 1
1201, 14641, 3517864, 201647240, 22615881851, 1801391900581, 170522196557894, 14753755568811250, 1337556329843925041, 118318482946621914451, 10602440137851768515514, 943609314229926493605690 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A214112

LINKS

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

FORMULA

Empirical: a(n) = 71*a(n-1) +4557*a(n-2) -247959*a(n-3) -4551298*a(n-4) +312211770*a(n-5) +404993418*a(n-6) -170644518982*a(n-7) +1011258862697*a(n-8) +47731033893697*a(n-9) -481540382746711*a(n-10) -7812458281820015*a(n-11) +107491906115030390*a(n-12) +802753007058417122*a(n-13) -14810322992470367124*a(n-14) -52236876889837881496*a(n-15) +1397120077279486078615*a(n-16) +1908986261052682159583*a(n-17) -95326198593752797686717*a(n-18) -3939861808195761858197*a(n-19) +4862749195076427458653767*a(n-20) -4071116387231959584498297*a(n-21) -189410660185387312059455961*a(n-22) +276751300139886549419551623*a(n-23) +5709941572760196543615946145*a(n-24) -11070443342922200412503979839*a(n-25) -134291090280027322651457599227*a(n-26) +314181481729160862963244133469*a(n-27) +2472757577925653677337747724563*a(n-28) -6713232034051500539616196749221*a(n-29) -35614406256264651827834428473165*a(n-30) +110856577844537236798181863128323*a(n-31) +398621665208146683002583281790033*a(n-32) -1432552221061870350444820655406207*a(n-33) -3414719396999527654937878311873639*a(n-34) +14563763095526008410667920940827801*a(n-35) +21654501267142196378538798608022287*a(n-36) -116543432464823509218907385960284441*a(n-37) -93387410055594400458879292789356245*a(n-38) +731733590372689863579582844546687571*a(n-39) +190706789694290072743433792280938333*a(n-40) -3579797875309741007067106309019939539*a(n-41) +652579225153115526718958496831589445*a(n-42) +13489700279813336092640540284315488629*a(n-43) -7638498253467065416778042677179230491*a(n-44) -38433912247715668494850645168214247371*a(n-45) +35819158000866319233368148395018739189*a(n-46) +80188028693131094881359778731182969589*a(n-47) -107580529452211504669487846026262824276*a(n-48) -114866501279133396640685423276212942652*a(n-49) +223714163784484601383232783195358720298*a(n-50) +93941638123763694266017160455985297430*a(n-51) -325326526112916402563801402948261946309*a(n-52) -532228298120121215630201556615285321*a(n-53) +323654806138241644213915956264754074399*a(n-54) -98911187941519287004491874078986333825*a(n-55) -208650038297994885720881349543599941158*a(n-56) +120139963080822097025353464665305160370*a(n-57) +77681072075087563163939780752638812706*a(n-58) -71414419501229415220941864940025375526*a(n-59) -11807179281698032110454867882522184913*a(n-60) +23047575469053791633723741732881145451*a(n-61) -1182532109139448925007426520413002643*a(n-62) -4091815469900446098577191936781557399*a(n-63) +623145104760982496786692984844093376*a(n-64) +419771823301857020283713515806825768*a(n-65) -80021729303970260712985572597411300*a(n-66) -26221320623988171486898417129154076*a(n-67) +4579378640451562067183280930269760*a(n-68) +999536806719864877222001964255696*a(n-69) -102983262945499559324625095692800*a(n-70) -18888652384396355454046130073600*a(n-71)

EXAMPLE

Some solutions for n=4

..0..1..0..1..2....0..1..0..1..2....0..1..0..1..2....0..1..2..3..1

..3..0..1..2..1....1..2..3..2..3....2..3..1..2..3....2..0..3..0..3

..0..2..3..0..2....0..1..2..0..2....3..2..3..0..2....0..3..1..2..1

..1..3..1..2..3....2..0..1..3..0....0..1..2..3..1....1..2..0..1..0

..2..0..2..1..0....0..1..0..1..2....1..2..1..0..2....3..0..2..3..2

CROSSREFS

Sequence in context: A217656 A020390 A156620 * A221451 A133142 A068534

Adjacent sequences:  A214113 A214114 A214115 * A214117 A214118 A214119

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 04 2012

STATUS

approved

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Last modified November 13 10:50 EST 2019. Contains 329093 sequences. (Running on oeis4.)