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A224625
T(n,k)=Number of (n+4)X(k+4) 0..2 matrices with each 5X5 subblock idempotent
9
54182, 20465, 20465, 23914, 15354, 23914, 32029, 19596, 19596, 32029, 39001, 22081, 24024, 22081, 39001, 43489, 23453, 26624, 26624, 23453, 43489, 54070, 24252, 28058, 29254, 28058, 24252, 54070, 79918, 31702, 28949, 30723, 30723, 28949, 31702, 79918
OFFSET
1,1
COMMENTS
Table starts
..54182.20465.23914.32029.39001.43489.54070..79918.122542.187631.273520.383006
..20465.15354.19596.22081.23453.24252.31702..43635..58076..73708..89988.113491
..23914.19596.24024.26624.28058.28949.36576..48835..63548..79494..96070.120095
..32029.22081.26624.29254.30723.31623.39450..51956..66929..83137.100012.124474
..39001.23453.28058.30723.32204.33115.41120..53862..69089..85561.102702.127605
..43489.24252.28949.31623.33115.34032.42214..55189..70669..87402.104808.130151
..54070.31702.36576.39450.41120.42214.50748..64133..80045..97220.115074.141044
..79918.43635.48835.51956.53862.55189.64133..77986..94388.112063.130423.157080
.122542.58076.63548.66929.69089.70669.80045..94388.111302.129499
.187631.73708.79494.83137.85561.87402.97220.112063.129499
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -2*a(n-4) +2*a(n-5) -a(n-7) -a(n-9) +a(n-10) -a(n-11) +a(n-12) for n>18
k=2: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4) -a(n-7) +a(n-8) -a(n-9) +a(n-10) +a(n-12) -a(n-13) for n>18
k=3: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4) -a(n-7) +a(n-8) -a(n-9) +a(n-10) +a(n-12) -a(n-13) for n>17
k=4: a(n) = 3*a(n-1) -2*a(n-2) -2*a(n-3) +3*a(n-4) -2*a(n-6) +2*a(n-8) -a(n-9) for n>13
k=5..8+: a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4) +a(n-5) -3*a(n-6) +3*a(n-7) -a(n-8) for n>12
EXAMPLE
Some solutions for n=2 k=4
..1..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0....1..0..0..0..0..0..1..0
..1..0..0..0..0..0..0..1....1..0..0..0..0..0..0..0....1..0..0..0..0..0..1..0
..1..0..0..0..0..0..0..2....0..0..0..0..0..0..0..0....2..0..0..0..0..0..2..0
..0..0..0..0..0..0..0..2....1..0..0..0..0..0..0..0....2..0..0..0..0..0..1..0
..2..0..0..0..0..0..0..1....0..0..0..0..0..0..0..0....2..0..0..0..0..0..1..0
..1..0..0..0..0..0..0..1....2..0..0..0..0..1..1..1....1..0..0..0..0..0..1..0
CROSSREFS
Sequence in context: A224624 A202467 A224617 * A224618 A254263 A254256
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 12 2013
STATUS
approved