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A197095 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,4,0,0,1 for x=0,1,2,3,4 1
5, 163, 1880, 30071, 457357, 6929744, 105551542, 1604683081, 24408630177, 371223947273, 5645973938300, 85870216988266, 1306005491430390, 19863143482191568, 302100042452359958, 4594662801689083927 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

Column 5 of A197098

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) +53*a(n-2) +782*a(n-3) +3326*a(n-4) +16793*a(n-5) +45497*a(n-6) +285193*a(n-7) +870860*a(n-8) +2791165*a(n-9) -4852723*a(n-10) -11854412*a(n-11) -44949260*a(n-12) -14393658*a(n-13) +248870721*a(n-14) -287672636*a(n-15) +753573467*a(n-16) -362558271*a(n-17) +1117439355*a(n-18) -6236781109*a(n-19) -3890667024*a(n-20) +5448784939*a(n-21) +9779998839*a(n-22) +12696960230*a(n-23) +8399509516*a(n-24) +11325943777*a(n-25) -8003450361*a(n-26) -67836337987*a(n-27) -47495510843*a(n-28) +11646076335*a(n-29) -78755652743*a(n-30) +103622995658*a(n-31) +294972161447*a(n-32) -248458005057*a(n-33) -311864133212*a(n-34) +445813950685*a(n-35) -140535780014*a(n-36) -607180645343*a(n-37) +257546952846*a(n-38) +1296931477938*a(n-39) +243154330577*a(n-40) -510457205315*a(n-41) +23694550565*a(n-42) +625606263342*a(n-43) -512120774191*a(n-44) -1565805827472*a(n-45) -616203564809*a(n-46) +390251425708*a(n-47) +283957320226*a(n-48) -289115331890*a(n-49) -138889347928*a(n-50) +268573436779*a(n-51) +194896202154*a(n-52) -93180733804*a(n-53) -57998218597*a(n-54) +62638479107*a(n-55) +15882697847*a(n-56) -38161181122*a(n-57) +8471596388*a(n-58) +37689481260*a(n-59) +5355797291*a(n-60) -14146878799*a(n-61) -7579139464*a(n-62) -1700313346*a(n-63) -700443583*a(n-64) +234553041*a(n-65) +492879862*a(n-66) +147674209*a(n-67) +53309458*a(n-68) +52080225*a(n-69) +19862140*a(n-70) +4319587*a(n-71) +2164277*a(n-72) -479346*a(n-73) -769317*a(n-74) -326927*a(n-75) -128024*a(n-76) -45068*a(n-77) -7411*a(n-78) -1636*a(n-79) -127*a(n-80) +55*a(n-81) +17*a(n-82) +3*a(n-83) +a(n-84)

EXAMPLE

Some solutions containing all values 0 to 4 for n=4

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

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

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

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

CROSSREFS

Sequence in context: A195950 A195951 A128068 * A247468 A304056 A305450

Adjacent sequences:  A197092 A197093 A197094 * A197096 A197097 A197098

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 10 2011

STATUS

approved

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Last modified June 19 12:57 EDT 2019. Contains 324222 sequences. (Running on oeis4.)