login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

%I #5 Mar 31 2012 12:36:28

%S 5,163,1880,30071,457357,6929744,105551542,1604683081,24408630177,

%T 371223947273,5645973938300,85870216988266,1306005491430390,

%U 19863143482191568,302100042452359958,4594662801689083927

%N 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

%C 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

%C Column 5 of A197098

%H R. H. Hardin, <a href="/A197095/b197095.txt">Table of n, a(n) for n = 1..210</a>

%F 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)

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

%e ..0..3..0..0..0....0..1..0..3..0....0..2..0..3..0....2..0..3..0..2

%e ..3..0..1..2..0....1..4..1..0..0....0..1..2..0..3....0..1..0..0..0

%e ..0..1..4..1..0....0..1..2..0..0....1..4..1..0..0....1..4..1..2..0

%e ..0..0..1..0..2....2..0..0..0..0....0..1..0..0..0....0..1..0..2..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 10 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)