A224690 T(n,k)=Number of (n+4)X(k+4) 0..1 matrices with each 5X5 subblock idempotent

5682, 2351, 2351, 2662, 1312, 2662, 3465, 1494, 1494, 3465, 4405, 1720, 1636, 1720, 4405, 5385, 1938, 1896, 1896, 1938, 5385, 6713, 2110, 2136, 2166, 2136, 2110, 6713, 8897, 2591, 2354, 2429, 2429, 2354, 2591, 8897, 12393, 3332, 2862, 2646, 2700, 2646

Offset

1,1

Comments

Table starts

..5682.2351.2662.3465.4405.5385.6713..8897.12393.17893.25853.36869.52253.74230

..2351.1312.1494.1720.1938.2110.2591..3332..4377..5599..6968..8749.11314.14818

..2662.1494.1636.1896.2136.2354.2862..3701..4814..6134..7579..9522.12249.16025

..3465.1720.1896.2166.2429.2646.3214..4122..5307..6699..8253.10313.13224.17256

..4405.1938.2136.2429.2700.2926.3540..4514..5773..7247..8885.11074.14173.18466

..5385.2110.2354.2646.2926.3158.3819..4858..6192..7747..9470.11789.15081.19640

..6713.2591.2862.3214.3540.3819.4572..5723..7181..8868.10729.13235.16781.21671

..8897.3332.3701.4122.4514.4858.5723..7006..8608.10447.12466.15181.19005.24252

.12393.4377.4814.5307.5773.6192.7181..8608.10366.12369.14558.17496.21614.27236

.17893.5599.6134.6699.7247.7747.8868.10447.12369.14544.16911.20082.24506.30517

Links

R. H. Hardin, Table of n, a(n) for n = 1..2176

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..12+: 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..1....0..0..0..0..0..0..0..0
..1..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
..1..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....0..1..1..1..1..1..0..0
..0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..1....1..0..0..0..0..0..0..1....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..1

Crossrefs

Sequence in context: A242946 A151770 A224682 * A224683 A222824 A183638

Adjacent sequences: A224687 A224688 A224689 * A224691 A224692 A224693

Keyword

nonn,tabl

Author

R. H. Hardin Apr 15 2013

Status

approved