A224625 T(n,k)=Number of (n+4)X(k+4) 0..2 matrices with each 5X5 subblock idempotent

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

R. H. Hardin, Table of n, a(n) for n = 1..179

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

Adjacent sequences: A224622 A224623 A224624 * A224626 A224627 A224628

Keyword

nonn,tabl

Author

R. H. Hardin Apr 12 2013

Status

approved