A212044 - OEIS

%I #5 Dec 18 2015 18:18:10

%S 0,0,1,0,1,4,0,0,5,19,0,0,5,119,58,0,0,5,319,1310,136,0,0,5,447,14949,

%T 7849,271,0,0,0,463,94131,253072,32696,484,0,0,0,463,339764,5054845,

%U 2326567,107400,799,0,0,0,463,728291,65635205,109065807,14516200,298404

%N T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any element within a city block distance of two, and containing the value n(n+1)/2-k-1

%C Table starts

%C ...0......0........0..........0...........0...........0..........0...........0

%C ...1......1........0..........0...........0...........0..........0...........0

%C ...4......5........5..........5...........5...........0..........0...........0

%C ..19....119......319........447.........463.........463........463.........463

%C ..58...1310....14949......94131......339764......728291....1010440.....1087168

%C .136...7849...253072....5054845....65635205...566694913.3281785526.12771345347

%C .271..32696..2326567..109065807..3564578765.83865812963

%C .484.107400.14516200.1339229741.89579748909

%H R. H. Hardin, <a href="/A212044/b212044.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=4 k=4

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

%e ..1.2......1.2......1.2......1.2......1.2......1.2......1.2......1.2

%e ..3.4.1....3.4.1....3.4.5....3.0.4....3.0.4....3.4.1....3.4.0....3.4.5

%K nonn,tabl

%O 1,6

%A _R. H. Hardin_ Apr 28 2012