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A232905 Number of (n+1)X(5+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally 1

%I #4 Dec 02 2013 13:35:58

%S 432,27692,1825972,115154048,7517844304,485354122160,31320663237216,

%T 2024849938767040,130826030730696144,8452502440791870368,

%U 546148846629471163136,35288014319342183094576,2280040329256855303811792

%N Number of (n+1)X(5+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally

%C Column 5 of A232908

%H R. H. Hardin, <a href="/A232905/b232905.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 30*a(n-1) +873*a(n-2) +69495*a(n-3) +866209*a(n-4) +21470200*a(n-5) -18907782*a(n-6) +2288922926*a(n-7) -17008060399*a(n-8) +175266608090*a(n-9) -1404853187879*a(n-10) +7270460293375*a(n-11) -33996137087269*a(n-12) +98994746257608*a(n-13) -249827572963076*a(n-14) +1112688163496996*a(n-15) -5640651621370116*a(n-16) +7041588254771264*a(n-17) +1919878834793920*a(n-18) +23490661161302080*a(n-19) -60365548542231296*a(n-20) -15999446979024384*a(n-21) +26128726800941312*a(n-22) -21473298342000384*a(n-23) +172863368377786368*a(n-24) +337889099667988480*a(n-25) +41253935147253760*a(n-26) -65455034362691584*a(n-27) +21767970681257984*a(n-28) +26016245392343040*a(n-29) -5214678607200256*a(n-30) -3666850810429440*a(n-31) -457053239771136*a(n-32) -35734127902720*a(n-33) -4398046511104*a(n-34) for n>35

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013

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Last modified April 24 08:59 EDT 2024. Contains 371935 sequences. (Running on oeis4.)