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 A208269 T(n,k)=Number of nXk 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than two of its immediate leftward or upward or left-upward diagonal neighbors 7

%I #5 Mar 31 2012 12:37:22

%S 1,2,2,4,7,4,8,25,25,8,16,89,161,89,16,32,317,1033,1033,317,32,64,

%T 1129,6631,11929,6631,1129,64,128,4021,42563,137845,137845,42563,4021,

%U 128,256,14321,273205,1592731,2867739,1592731,273205,14321,256,512,51005,1753657

%N T(n,k)=Number of nXk 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than two of its immediate leftward or upward or left-upward diagonal neighbors

%C Table starts

%C ...1.....2.......4.........8..........16............32..............64

%C ...2.....7......25........89.........317..........1129............4021

%C ...4....25.....161......1033........6631.........42563..........273205

%C ...8....89....1033.....11929......137845.......1592731........18403423

%C ..16...317....6631....137845.....2867739......59655167......1240971177

%C ..32..1129...42563...1592731....59655167....2234126207.....83670667271

%C ..64..4021..273205..18403423..1240971177...83670667271...5641457245533

%C .128.14321.1753657.212644499.25815151595.3133560234217.380372051615157

%H R. H. Hardin, <a href="/A208269/b208269.txt">Table of n, a(n) for n = 1..759</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 2 is A007484(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Feb 24 2012

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Last modified November 29 00:31 EST 2023. Contains 367422 sequences. (Running on oeis4.)