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A223428 5X5X5 triangular graph without horizontal edges coloring a rectangular array: number of nX4 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 0,2 1,3 1,4 2,4 2,5 3,6 3,7 4,7 4,8 5,8 5,9 6,10 6,11 7,11 7,12 8,12 8,13 9,13 9,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph 1
356, 11168, 394736, 14270468, 522011152, 19187276496, 707293805988, 26110271476744, 964706306602248, 35659725052665944, 1318493647550197552, 48757719264021531560, 1803213225574814956884, 66691851687923955861152 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A223432

LINKS

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

FORMULA

Empirical: a(n) = 90*a(n-1) -2382*a(n-2) -5851*a(n-3) +1185032*a(n-4) -12751424*a(n-5) -147375985*a(n-6) +3273708212*a(n-7) -1168111789*a(n-8) -323647444388*a(n-9) +1437779069985*a(n-10) +16186927709385*a(n-11) -125242315912444*a(n-12) -413235224470677*a(n-13) +5636480667293840*a(n-14) +2675663283401746*a(n-15) -159026686066589326*a(n-16) +166509342016432039*a(n-17) +3028188310899621548*a(n-18) -6383129956393481851*a(n-19) -40277954027537811627*a(n-20) +122930347681762016808*a(n-21) +377848121308445104815*a(n-22) -1567942435557566705597*a(n-23) -2446348750208859246237*a(n-24) +14376673054018669801356*a(n-25) +9834205763847336386085*a(n-26) -98491136965829011054574*a(n-27) -11032841879864789986393*a(n-28) +515409955861972526740139*a(n-29) -151400819078918167199246*a(n-30) -2089269980813555081335146*a(n-31) +1257505625483438262653038*a(n-32) +6620817862675782715137184*a(n-33) -5638216059009855079193532*a(n-34) -16500225411520187526719329*a(n-35) +17626543895239420982950725*a(n-36) +32450784819120629254505749*a(n-37) -41241621786856615498194847*a(n-38) -50421557691936506753151235*a(n-39) +74445070527604651709548109*a(n-40) +61811653102978472165389882*a(n-41) -105303828568329573268018356*a(n-42) -59508367840589483370664765*a(n-43) +117713417867557052980768776*a(n-44) +44562972029754054220967816*a(n-45) -104417665868649446207199712*a(n-46) -25481130170512244991378397*a(n-47) +73574004478869022860911870*a(n-48) +10707490652787164689705930*a(n-49) -41111391445133892464690283*a(n-50) -2996529497348401711568856*a(n-51) +18140775177847581398098800*a(n-52) +348984267320486319762240*a(n-53) -6277165317584306574534073*a(n-54) +127020749264277083241411*a(n-55) +1685784546683990004024199*a(n-56) -82689627089498738802445*a(n-57) -346279469716458171918497*a(n-58) +24199479663388592510755*a(n-59) +53297563974949750292352*a(n-60) -4522291938509550140432*a(n-61) -5968291960645494882434*a(n-62) +571087613336425857431*a(n-63) +465349417827379918292*a(n-64) -48336072855407563696*a(n-65) -23548583170925441556*a(n-66) +2606296798017051248*a(n-67) +680557811695605000*a(n-68) -79783533495300384*a(n-69) -8271041468576256*a(n-70) +1029784826898432*a(n-71)

EXAMPLE

Some solutions for n=3

.11..7.12..8....7..4..1..0....0..1..4..8....7.12..8.13....0..2..4..2

..7.11..7..4....4..1..3..1....2..4..1..4....4..8.13..8....2..0..2..5

..3..7..4..7....1..3..7..4....0..1..4..8....8.13..8..5....0..1..0..2

CROSSREFS

Sequence in context: A233686 A231078 A232851 * A277765 A052479 A252806

Adjacent sequences:  A223425 A223426 A223427 * A223429 A223430 A223431

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 20 2013

STATUS

approved

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Last modified January 23 03:15 EST 2022. Contains 350504 sequences. (Running on oeis4.)