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A223412 4X4X4 triangular graph without horizontal edges coloring a rectangular array: number of nX5 0..9 arrays where 0..9 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 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph 1
486, 28060, 1905248, 128885376, 8949958604, 612911291636, 42673331495196, 2927250803834708, 203882215723328784, 13989519933873595328, 974422430727891342364, 66863968705894435486668, 4657370570844263056792900 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A223415

LINKS

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

FORMULA

Empirical: a(n) = 7361*a(n-2) -14962085*a(n-4) +13956160554*a(n-6) -7217861861544*a(n-8) +2313234076350694*a(n-10) -494196758704863388*a(n-12) +74104389987453648158*a(n-14) -8098080040870341340145*a(n-16) +663219138246398237700481*a(n-18) -41577386085035411121327082*a(n-20) +2027989194908711983727389998*a(n-22) -77957864467701846022378119810*a(n-24) +2386391339336347270110766332105*a(n-26) -58674026305862814315629897868061*a(n-28) +1167241289678305608876961932030254*a(n-30) -18909327017121370282458211430858132*a(n-32) +250887036587438367621269129271290090*a(n-34) -2740320427133935878047550078860561647*a(n-36) +24754417225306601655690644399758461383*a(n-38) -185704320577199312596121714270609744526*a(n-40) +1161139919069115567032418922551657155879*a(n-42) -6070205458195261431611792848798970263238*a(n-44) +26603134841845437238133374146619208246272*a(n-46) -97954354053990843791784948592064807057912*a(n-48) +303550014443408439015524556248465194712395*a(n-50) -792713422575336249948903287419515136101333*a(n-52) +1746065552469715512248868049225945493334320*a(n-54) -3245337081317181206003178598882266164915060*a(n-56) +5090103098438642582136434984688324289714506*a(n-58) -6734144502955010593336574411227607057248136*a(n-60) +7508352530959519869580212066486622872053092*a(n-62) -7045402992115443889266736421859600717497484*a(n-64) +5552719395601940237402543192354250411548272*a(n-66) -3666016264764289338348899275949613893622176*a(n-68) +2020622045121613894249177988565240903844768*a(n-70) -925750567177540432482387338891894665952752*a(n-72) +350640228601385820902883056114497271073760*a(n-74) -109055803738208063427601346717907423583040*a(n-76) +27617909047139963768355452115179190706816*a(n-78) -5634976188852875547898083589066909627904*a(n-80) +913944105992725897962611323140553910272*a(n-82) -115806619390089923303846089240594735104*a(n-84) +11202987319981818352894841755293417472*a(n-86) -801650894198342661709478584850055168*a(n-88) +40537257413029514285167471234121728*a(n-90) -1349038271574083685091014344704000*a(n-92) +26028080269265289445571035136000*a(n-94) -215671278289615432187904000000*a(n-96) for n>97

EXAMPLE

Some solutions for n=3

..0..2..0..2..4....0..2..0..1..4....1..0..1..0..1....1..0..1..3..1

..1..4..1..4..1....1..4..1..4..2....0..1..4..2..4....0..2..4..7..4

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

CROSSREFS

Sequence in context: A205240 A206146 A128969 * A097765 A179428 A252076

Adjacent sequences:  A223409 A223410 A223411 * A223413 A223414 A223415

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 20 2013

STATUS

approved

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Last modified October 21 10:52 EDT 2021. Contains 348150 sequences. (Running on oeis4.)