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A211904 T(n,k)=Number of triangular nXnXn arrays colored with integers 0 upwards introduced in row major order, with no element equal to any neighbor, and containing the value n(n+1)/2-k-1 6

%I #4 Apr 25 2012 06:57:31

%S 0,0,1,0,1,7,0,0,14,28,0,0,15,274,76,0,0,15,1198,2315,166,0,0,15,2605,

%T 36845,11866,316,0,0,0,3341,336017,481826,44821,547,0,0,0,3428,

%U 1822850,12353030,3783481,137859,883,0,0,0,3429,5987653,210401656,212518051

%N T(n,k)=Number of triangular nXnXn arrays colored with integers 0 upwards introduced in row major order, with no element equal to any neighbor, and containing the value n(n+1)/2-k-1

%C Table starts

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

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

%C ...7.....14.......15.........15...........15............0...........0

%C ..28....274.....1198.......2605.........3341.........3428........3429

%C ..76...2315....36845.....336017......1822850......5987653....12221947

%C .166..11866...481826...12353030....210401656...2442103346.19531771155

%C .316..44821..3783481..212518051...8415359939.242877057319

%C .547.137859.21275955.2254248571.174254333738

%H R. H. Hardin, <a href="/A211904/b211904.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 ...3.4.5....3.4.0....2.3.4....3.4.1....3.0.4....0.3.0....3.0.1....3.4.5

%e ..0.6.0.7..5.0.6.2..1.4.5.2..5.0.5.4..0.1.5.3..3.4.1.5..4.5.3.2..5.6.1.2

%K nonn,tabl

%O 1,6

%A _R. H. Hardin_ Apr 25 2012

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Last modified March 29 11:14 EDT 2024. Contains 371278 sequences. (Running on oeis4.)