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A194893 T(n,k)=Number of lower triangles of an n X n 0..k array with new values introduced in row major order 0..k and no two horizontal or vertical neighbors of any element equal 6
1, 1, 2, 1, 3, 0, 1, 3, 6, 0, 1, 3, 24, 0, 0, 1, 3, 33, 192, 0, 0, 1, 3, 34, 1620, 1152, 0, 0, 1, 3, 34, 3936, 136080, 5760, 0, 0, 1, 3, 34, 5249, 1797696, 17962560, 26880, 0, 0, 1, 3, 34, 5556, 7418424, 2054111040, 3751608960, 118272, 0, 0, 1, 3, 34, 5586, 15005952 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Table starts

.1.1......1.............1.................1...............1.................1

.2.3......3.............3.................3...............3.................3

.0.6.....24............33................34..............34................34

.0.0....192..........1620..............3936............5249..............5556

.0.0...1152........136080...........1797696.........7418424..........15005952

.0.0...5760......17962560........2054111040.....41521783200......282616583760

.0.0..26880....3751608960.....5741390328960.788547395813440.24289270603904160

.0.0.118272.1233597237120.39210440893622016

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..85

EXAMPLE

Some solutions for n=4 k=4

..0........0........0........0........0........0........0........0

..1.2......1.2......1.2......0.1......1.2......0.1......1.2......1.2

..1.3.3....1.2.3....3.0.0....2.3.0....3.3.1....2.3.4....3.0.4....3.2.0

..4.4.0.2..4.0.1.4..4.1.3.2..1.4.4.2..2.0.1.3..4.0.2.3..2.0.1.2..4.4.0.3

CROSSREFS

Sequence in context: A120251 A333429 A071490 * A141673 A127094 A221642

Adjacent sequences:  A194890 A194891 A194892 * A194894 A194895 A194896

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 04 2011

STATUS

approved

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Last modified May 25 05:45 EDT 2022. Contains 354048 sequences. (Running on oeis4.)