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 A198654 T(n,k)=Number of nXk 0..6 arrays with values 0..6 introduced in row major order and each element equal to at least one horizontal or vertical neighbor 7

%I

%S 0,1,1,1,3,1,2,14,14,2,3,76,185,76,3,6,488,3904,3904,488,6,11,3521,

%T 98467,344008,98467,3521,11,23,28030,3050721,39898934,39898934,

%U 3050721,28030,23,47,242849,108395401,5870175231,21787578805,5870175231,108395401

%N T(n,k)=Number of nXk 0..6 arrays with values 0..6 introduced in row major order and each element equal to at least one horizontal or vertical neighbor

%C Table starts

%C ...0.......1..........1............2..............3..............6...........11

%C ...1.......3.........14...........76............488...........3521........28030

%C ...1......14........185.........3904..........98467........3050721....108395401

%C ...2......76.......3904.......344008.......39898934.....5870175231.996290832880

%C ...3.....488......98467.....39898934....21787578805.15022218265442

%C ...6....3521....3050721...5870175231.15022218265442

%C ..11...28030..108395401.996290832880

%C ..23..242849.4339928301

%C ..47.2264711

%C .103

%H R. H. Hardin, <a href="/A198654/b198654.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions with all values 0 to 6 for n=4 k=4

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

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

%e ..4..4..3..5....3..4..5..6....4..4..5..5....4..5..6..6....4..5..5..6

%e ..6..6..6..5....3..4..5..6....4..6..6..5....4..5..6..6....4..5..5..6

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Oct 28 2011

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Last modified March 26 06:47 EDT 2023. Contains 361529 sequences. (Running on oeis4.)