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

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A222894 T(n,k)=Number of nXk 0..7 arrays with no element equal to another at a city block distance of exactly two, and new values 0..7 introduced in row major order 5

%I #4 Mar 08 2013 19:13:20

%S 1,2,2,3,7,3,7,34,34,7,20,389,991,389,20,67,7145,84521,84521,7145,67,

%T 255,179465,11047723,46407465,11047723,179465,255,1080,5426201,

%U 1639681049,30122054696,30122054696,1639681049,5426201,1080,5016,180390761

%N T(n,k)=Number of nXk 0..7 arrays with no element equal to another at a city block distance of exactly two, and new values 0..7 introduced in row major order

%C Table starts

%C ....1.........2............3..............7.............20.............67

%C ....2.........7...........34............389...........7145.........179465

%C ....3........34..........991..........84521.......11047723.....1639681049

%C ....7.......389........84521.......46407465....30122054696.20029573364121

%C ...20......7145.....11047723....30122054696.86240147780852

%C ...67....179465...1639681049.20029573364121

%C ..255...5426201.251412693667

%C .1080.180390761

%C .5016

%H R. H. Hardin, <a href="/A222894/b222894.txt">Table of n, a(n) for n = 1..49</a>

%F Empirical for column k:

%F k=1: a(n) = 22*a(n-1) -190*a(n-2) +820*a(n-3) -1849*a(n-4) +2038*a(n-5) -840*a(n-6) for n>8

%F k=2: a(n) = 66*a(n-1) -1353*a(n-2) +10648*a(n-3) -30096*a(n-4) +20736*a(n-5) for n>7

%F k=3: a(n) = 211*a(n-1) -9385*a(n-2) +110913*a(n-3) -253890*a(n-4) for n>6

%e Some solutions for n=3 k=4

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

%e ..3..4..5..3....2..4..4..5....4..1..5..6....4..5..5..1....2..3..4..4

%e ..5..2..1..4....6..0..0..2....2..3..0..6....6..3..4..0....5..5..6..7

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Mar 08 2013

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.

Last modified December 6 22:36 EST 2023. Contains 367616 sequences. (Running on oeis4.)