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A224690 T(n,k)=Number of (n+4)X(k+4) 0..1 matrices with each 5X5 subblock idempotent 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified December 2 08:31 EST 2021. Contains 349437 sequences. (Running on oeis4.)