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A196703 Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,1,0,4,2 for x=0,1,2,3,4 1
6, 136, 1366, 16676, 193326, 2264381, 26495227, 310276380, 3632827590, 42527506151, 497870194993, 5828719769741, 68238349389070, 798880050071593, 9352648440980667, 109493443755493253, 1281863203314446240 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Every 0 is next to 0 3's, every 1 is next to 1 1's, every 2 is next to 2 0's, every 3 is next to 3 4's, every 4 is next to 4 2's

Column 4 of A196707

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 3*a(n-1) +44*a(n-2) +418*a(n-3) +2123*a(n-4) +9666*a(n-5) +17867*a(n-6) -31103*a(n-7) -197975*a(n-8) -230889*a(n-9) -1128188*a(n-10) -10294716*a(n-11) -25363963*a(n-12) +10109804*a(n-13) +103009787*a(n-14) -41521218*a(n-15) -540648165*a(n-16) -490445197*a(n-17) +298496144*a(n-18) +581581325*a(n-19) -791636376*a(n-20) -6650364072*a(n-21) +7765218732*a(n-22) +63237542944*a(n-23) +47129253858*a(n-24) -50164097213*a(n-25) +221166151571*a(n-26) -68300476076*a(n-27) -1507350365119*a(n-28) +2286027931208*a(n-29) -1615011002135*a(n-30) -2064723761796*a(n-31) +10965745389067*a(n-32) -12557336858803*a(n-33) +12100326294111*a(n-34) -2941555694638*a(n-35) -5301314787748*a(n-36) -521040003542*a(n-37) -2211986829512*a(n-38) -684539722837*a(n-39) -11363446274967*a(n-40) +15750252315140*a(n-41) -2531664165706*a(n-42) -4802852996620*a(n-43) +18524903969559*a(n-44) -9899802947654*a(n-45) +9044730601964*a(n-46) +1636031611457*a(n-47) -4283599340178*a(n-48) +9289438091383*a(n-49) -13032765921092*a(n-50) -6827048634321*a(n-51) +5970500374922*a(n-52) -16177927247769*a(n-53) +5186623239157*a(n-54) -2348762640686*a(n-55) +2481169040671*a(n-56) -1056794241201*a(n-57) -989891859322*a(n-58) +1027346613037*a(n-59) -670566409353*a(n-60) +543900035351*a(n-61) +84211547551*a(n-62) +18236259246*a(n-63) +38945802085*a(n-64) -4280014106*a(n-65) +4341538315*a(n-66) +11264153476*a(n-67) +8779125376*a(n-68) -3365069472*a(n-69) +3792604437*a(n-70) -1532663159*a(n-71) -385210547*a(n-72) -83439919*a(n-73) -102572613*a(n-74) -5981192*a(n-75) +9692966*a(n-76) +2503246*a(n-77) -3875313*a(n-78) +1001324*a(n-79) -542833*a(n-80) -6802*a(n-81) +11947*a(n-82) +587*a(n-83) -260*a(n-84) -10*a(n-85) for n>87

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Sequence in context: A013299 A013295 A214132 * A196852 A196946 A090407

Adjacent sequences:  A196700 A196701 A196702 * A196704 A196705 A196706

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 05 2011

STATUS

approved

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Last modified September 25 05:14 EDT 2021. Contains 347652 sequences. (Running on oeis4.)