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A220758 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 nX4 array 1
36, 708, 24934, 548130, 14683998, 380208068, 9770273902, 252723391836, 6524302568076, 168454068507408, 4350085132885326, 112325738184197486, 2900465800983255400, 74895716770099261710, 1933949707170534389126 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A220761
LINKS
FORMULA
Empirical: a(n) = 27*a(n-1) +a(n-2) -68*a(n-3) -19944*a(n-4) +32202*a(n-5) -366806*a(n-6) -344162*a(n-7) +15645708*a(n-8) +386904618*a(n-9) +1605468711*a(n-10) -8682215207*a(n-11) -78537938933*a(n-12) -208552072676*a(n-13) +491361159633*a(n-14) +3431094062580*a(n-15) +12120704882974*a(n-16) +60720232090067*a(n-17) +102078457075308*a(n-18) -243273044500710*a(n-19) -4185445595713176*a(n-20) -12930074385916488*a(n-21) -1922629595776276*a(n-22) -3299597078536171*a(n-23) +159039644034236618*a(n-24) +782370861565903917*a(n-25) +6412556777179559410*a(n-26) +6133100920748595949*a(n-27) -41882141855763704337*a(n-28) -159326355659560116749*a(n-29) -163297657208749181397*a(n-30) +572123341282764490821*a(n-31) +1255229583783726960654*a(n-32) +1488502209761924258154*a(n-33) +988940775068036154969*a(n-34) +6779459528797080410846*a(n-35) +1313823383194793995760*a(n-36) -97328940790454219802756*a(n-37) -209463931263082261578826*a(n-38) -12548232830111895289756*a(n-39) +824823210803212904400308*a(n-40) +779310800259470202905381*a(n-41) -1298342472005470490372371*a(n-42) +797155389792804532051224*a(n-43) +11048483819972797709340490*a(n-44) +6080321908313837145985010*a(n-45) -45302692695747209380018605*a(n-46) -70999026208163113570367190*a(n-47) +71007484512972701691045139*a(n-48) +184293013927715950999656535*a(n-49) -281442135053111108184732426*a(n-50) -500881159231708052189115841*a(n-51) +949200365762267281715595095*a(n-52) +1976660100918469213599558080*a(n-53) -2108742879174070358386388390*a(n-54) -4435413149804422478078871865*a(n-55) +5324216480091762008996658012*a(n-56) +7452042438355837477317915019*a(n-57) -8577657839400234604430715748*a(n-58) -20252057676395727155218625915*a(n-59) +19527055142749768157186620745*a(n-60) +25148678453293867806624615880*a(n-61) -29549407986089189204388198551*a(n-62) -28952238339436623023694913717*a(n-63) +27790577254827940522738227784*a(n-64) +49237883586505974342032811871*a(n-65) -45995441582091648747603552108*a(n-66) +19787087816767962425926765404*a(n-67) +15785995571636887099831631932*a(n-68) -28237170212481440355269955812*a(n-69) -40259252050526281421801296864*a(n-70) -6863781714157965791634605104*a(n-71) +78456812405443228233291728220*a(n-72) -34927460819446521312392169304*a(n-73) -21650356288869917046673245936*a(n-74) +1963156324141012945623581408*a(n-75) +42630197123822889068328485944*a(n-76) -33870548551049723193264289184*a(n-77) -22046119727193068068885975648*a(n-78) +38552704964112017571370413600*a(n-79) -362470781177013401642583360*a(n-80) -1381223497910062770825013728*a(n-81) -16739401330703198687860181376*a(n-82) +4970715623803052430149915136*a(n-83) +5332800838136000359136661504*a(n-84) +178581973681933507453084416*a(n-85) -2932052182660659169718240256*a(n-86) -533938035446624512302912000*a(n-87) +874482649982525851622627328*a(n-88) +188809512870076407629365248*a(n-89) -122330833300625017107308544*a(n-90) -48607784672423021481885696*a(n-91) +13756551114957292453625856*a(n-92) +9547831666064583641530368*a(n-93) +732299333706987831558144*a(n-94) -47877015262019620700160*a(n-95) +32323357902855494172672*a(n-96) +2542332899731150209024*a(n-97) -193251539677656121344*a(n-98) -2565554407382974464*a(n-99)
EXAMPLE
Some solutions for n=3
..1..1..3..3....2..0..0..0....3..1..3..1....1..0..0..0....0..0..3..3
..1..1..3..1....1..0..0..0....1..1..1..1....1..0..1..0....1..0..2..1
..3..1..1..1....0..0..0..2....3..1..3..1....2..2..2..2....1..1..1..1
CROSSREFS
Sequence in context: A004419 A268900 A185491 * A054339 A232131 A138832
KEYWORD
nonn
AUTHOR
R. H. Hardin Dec 19 2012
STATUS
approved

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Last modified September 8 08:54 EDT 2024. Contains 375753 sequences. (Running on oeis4.)