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A203393 Number of nX4 0..3 arrays with every nonzero element less than or equal to some NW, E or S neighbor 1
1, 1455, 210342, 18530502, 1650100394, 156174348536, 14710444493905, 1372836933907585, 128311454162627211, 12010666148677873676, 1123887116441411389911, 105142401207892119486235 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 4 of A203397
LINKS
FORMULA
Empirical: a(n) = 256*a(n-1) -29090*a(n-2) +2153038*a(n-3) -120944727*a(n-4) +5436646342*a(n-5) -198945018323*a(n-6) +6003449140692*a(n-7) -151490335797269*a(n-8) +3240317293041080*a(n-9) -59500934757098762*a(n-10) +949038930153766434*a(n-11) -13285095671770751016*a(n-12) +164629867881714537648*a(n-13) -1818708645514335411069*a(n-14) +18019183251665136750748*a(n-15) -161013944018276223599206*a(n-16) +1304848682002387575033057*a(n-17) -9642366875610995594804141*a(n-18) +65297558111297993866162988*a(n-19) -406908269506433946471285146*a(n-20) +2340417848622212329436618906*a(n-21) -12447857077524000781235099523*a(n-22) +61278448404873112884892693973*a(n-23) -279365544520936934890345258977*a(n-24) +1180581666658039470554345280924*a(n-25) -4634913139270070141468491132416*a(n-26) +16979719003247974451022248099411*a(n-27) -58472989356825741616487219264610*a(n-28) +191263015374651743998308318212436*a(n-29) -601633601805721339650756351764880*a(n-30) +1841419852553709646298509432750748*a(n-31) -5524642571323469382644603708863177*a(n-32) +16247469042262613645435266321896508*a(n-33) -46473061822372632391493702003363500*a(n-34) +127620665890499262976414209872254640*a(n-35) -331740032997304395060573201508741636*a(n-36) +806177280449047505997073877180292144*a(n-37) -1814005848831966862350673767584880512*a(n-38) +3753194605861022769828032160834662368*a(n-39) -7106970436595069700771383358595656640*a(n-40) +12290589008568457157502359461698461504*a(n-41) -19453630004196367798073732916339463616*a(n-42) +28479077257882210090665515689598374656*a(n-43) -39574304011789196433443726940726866944*a(n-44) +54681174679312418056220012413906508544*a(n-45) -79176948221321101690168515808511847424*a(n-46) +122177657784390493403831036916653042688*a(n-47) -193454138802802719604512365809422476288*a(n-48) +297174549788869459877966899002657284096*a(n-49) -425519978594213046755275108578461618176*a(n-50) +555485630624894620772101798561653030912*a(n-51) -652385980129718776338961520372751024128*a(n-52) +683964695262790109371628484454295027712*a(n-53) -639336049180392370700144246191526313984*a(n-54) +534993765751397906669274201456241410048*a(n-55) -403215093582680213509177079792562601984*a(n-56) +275630186707803916179390290766676099072*a(n-57) -171951225433812540656255100103054852096*a(n-58) +98140851307702814827329477789251272704*a(n-59) -51078904642777602931112820164731600896*a(n-60) +24193696175876653597711814582681468928*a(n-61) -10523965764418288497404371204218814464*a(n-62) +4322956604382436021315328521210429440*a(n-63) -1754705971003024311366545062886375424*a(n-64) +706965429448002803178814127594274816*a(n-65) -249266841801593983689982528179929088*a(n-66) +60865598748541919949174818859909120*a(n-67) -7614542965724679909938329011879936*a(n-68) +212512959365284489308619250073600*a(n-69) for n>70
EXAMPLE
Some solutions for n=4
..1..0..3..2....2..1..2..0....1..2..0..3....0..0..2..1....1..0..0..0
..1..1..3..2....2..1..2..2....0..2..3..3....3..2..2..1....1..3..1..2
..3..1..3..0....2..0..1..0....0..3..3..3....3..2..2..1....1..3..2..2
..3..3..3..3....2..2..0..0....2..3..3..0....3..3..0..0....3..3..3..2
CROSSREFS
Sequence in context: A031613 A289822 A145529 * A235771 A351549 A235554
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 01 2012
STATUS
approved

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Last modified April 25 16:39 EDT 2024. Contains 371989 sequences. (Running on oeis4.)