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A248068
T(n,k)=Number of length n+5 0..k arrays with some disjoint triples in each consecutive six terms having the same sum
14
32, 333, 32, 1804, 513, 32, 6545, 3364, 793, 32, 18636, 15125, 6364, 1221, 32, 44677, 48316, 35529, 12124, 1861, 32, 94568, 131677, 128556, 83925, 23164, 2793, 32, 182049, 299968, 398737, 345760, 198333, 44284, 4113, 32, 325480, 625269, 983784
OFFSET
1,1
COMMENTS
Table starts
.32...333...1804.....6545.....18636......44677......94568......182049
.32...513...3364....15125.....48316.....131677.....299968......625269
.32...793...6364....35529....128556.....398737.....983784.....2223873
.32..1221..12124....83925....345760....1220617....3273988.....8029409
.32..1861..23164...198333....933004....3747537...10950616....29138097
.32..2793..44284...467723...2517256...11500157...36646756...105799459
.32..4113..84604..1099415...6782344...35238445..122502768...383781973
.32..6753.161824..2676011..18295612..109996209..409950004..1407188901
.32.10945.309724..6485603..49388668..342828243.1372989004..5155470523
.32.17457.592924.15656957.133375284.1066829297.4600574912.18875673047
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = a(n-1) +20*a(n-6) -20*a(n-7) -64*a(n-12) +64*a(n-13)
k=3: [order 16]
Empirical for row n:
n=1: a(n) = 5*a(n-1) -9*a(n-2) +5*a(n-3) +5*a(n-4) -9*a(n-5) +5*a(n-6) -a(n-7); also a degree 5 polynomial plus a quasipolynomial of degree zero with period 2
n=2: [order 16; also a degree 5 polynomial plus a cubic quasipolynomial with period 12]
EXAMPLE
Some solutions for n=4 k=4
..2....2....0....3....2....3....1....3....2....4....0....2....3....0....0....1
..4....2....1....0....4....3....1....3....0....2....3....4....1....2....4....3
..2....3....1....0....1....2....4....3....3....2....1....1....2....2....2....0
..2....1....3....3....3....4....2....3....4....3....2....3....3....2....0....2
..3....3....3....4....3....2....2....1....1....2....4....4....4....3....1....4
..3....1....2....4....1....2....2....1....0....3....0....2....1....3....1....2
..0....0....0....3....2....1....1....3....2....2....4....2....1....2....0....3
..0....4....1....2....4....1....3....3....0....0....1....4....1....0....0....1
..2....3....1....4....1....4....4....3....1....0....3....1....2....4....0....4
CROSSREFS
Sequence in context: A201152 A223017 A293288 * A248069 A145402 A009797
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Sep 30 2014
STATUS
approved