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A219816 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array 13
3, 3, 3, 6, 6, 6, 10, 15, 16, 10, 15, 28, 62, 33, 15, 21, 45, 165, 169, 61, 21, 28, 66, 377, 648, 414, 106, 28, 36, 91, 795, 2179, 2237, 987, 176, 36, 45, 120, 1588, 7049, 11395, 7689, 2359, 281, 45, 55, 153, 3039, 22017, 57848, 62341, 27340, 5569, 433, 55, 66, 190 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
..3....3......6......10.......15........21........28........36........45
..3....6.....15......28.......45........66........91.......120.......153
..6...16.....62.....165......377.......795......1588......3039......5612
.10...33....169.....648.....2179......7049.....22017.....65842....188487
.15...61....414....2237....11395.....57848....283334...1322739...5913303
.21..106....987....7689....62341....510090...3967857..29319493.208512645
.28..176...2359...27340...358480...4734774..59065976.707079160
.36..281...5569...97483..2042977..43171729.864699568
.45..433..12737..336348.11133454.376434884
.55..646..27982.1107489.57524941
.66..936..59028.3485470
.78.1321.119947
LINKS
EXAMPLE
Some solutions for n=3 k=4
..1..1..1..1....1..0..0..0....1..0..0..0....0..0..0..0....1..1..1..1
..2..1..1..1....1..1..0..0....2..1..0..0....0..0..0..0....1..1..0..0
..2..2..2..2....1..1..1..1....2..2..1..0....2..2..1..1....2..2..0..0
CROSSREFS
Column 1 and Row 1 are A000217 for n>1
Row 2 is A000384 for n>1
Sequence in context: A080607 A013322 A211534 * A177821 A166273 A244482
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 28 2012
STATUS
approved

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Last modified April 14 16:59 EDT 2024. Contains 371666 sequences. (Running on oeis4.)