A211963 - OEIS

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

%S 0,0,3,0,3,12,0,0,43,37,0,0,65,499,90,0,0,67,3146,3304,186,0,0,67,

%T 10112,64705,15021,343,0,0,0,17947,743866,695587,53038,582,0,0,0,

%U 21062,5225620,20556897,4904333,156458,927,0,0,0,21348,22803273,408588191,303369413

%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 diagonal or antidiagonal neighbor, and containing the value n(n+1)/2-k-1

%C Table starts

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

%C ...3......3........0..........0............0............0..............0

%C ..12.....43.......65.........67...........67............0..............0

%C ..37....499.....3146......10112........17947........21062..........21348

%C ..90...3304....64705.....743866......5225620.....22803273.......62515357

%C .186..15021...695587...20556897....408588191...5612346726....53970698094

%C .343..53038..4904333..303369413..13307423101.428253737962.10321456003638

%C .582.156458.25825865.2935224783.244159057556

%H R. H. Hardin, <a href="/A211963/b211963.txt">Table of n, a(n) for n = 1..85</a>

%e Some solutions for n=4 k=4

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

%e ..0.1......1.2......1.1......0.1......1.2......1.2......1.2......1.2

%e ..2.2.3....0.3.3....2.3.4....2.3.0....3.0.0....0.3.4....0.3.1....3.4.5

%e ..4.1.5.6..4.5.6.1..1.3.2.5..4.3.5.1..4.5.5.3..0.3.0.5..4.5.5.5..6.1.3.1

%K nonn,tabl

%O 1,3

%A _R. H. Hardin_ Apr 26 2012