login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A224690 T(n,k)=Number of (n+4)X(k+4) 0..1 matrices with each 5X5 subblock idempotent 9

%I #4 Apr 15 2013 07:49:57

%S 5682,2351,2351,2662,1312,2662,3465,1494,1494,3465,4405,1720,1636,

%T 1720,4405,5385,1938,1896,1896,1938,5385,6713,2110,2136,2166,2136,

%U 2110,6713,8897,2591,2354,2429,2429,2354,2591,8897,12393,3332,2862,2646,2700,2646

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

%C Table starts

%C ..5682.2351.2662.3465.4405.5385.6713..8897.12393.17893.25853.36869.52253.74230

%C ..2351.1312.1494.1720.1938.2110.2591..3332..4377..5599..6968..8749.11314.14818

%C ..2662.1494.1636.1896.2136.2354.2862..3701..4814..6134..7579..9522.12249.16025

%C ..3465.1720.1896.2166.2429.2646.3214..4122..5307..6699..8253.10313.13224.17256

%C ..4405.1938.2136.2429.2700.2926.3540..4514..5773..7247..8885.11074.14173.18466

%C ..5385.2110.2354.2646.2926.3158.3819..4858..6192..7747..9470.11789.15081.19640

%C ..6713.2591.2862.3214.3540.3819.4572..5723..7181..8868.10729.13235.16781.21671

%C ..8897.3332.3701.4122.4514.4858.5723..7006..8608.10447.12466.15181.19005.24252

%C .12393.4377.4814.5307.5773.6192.7181..8608.10366.12369.14558.17496.21614.27236

%C .17893.5599.6134.6699.7247.7747.8868.10447.12369.14544.16911.20082.24506.30517

%H R. H. Hardin, <a href="/A224690/b224690.txt">Table of n, a(n) for n = 1..2176</a>

%F Empirical for column k:

%F 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

%F 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

%F 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

%F 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

%F 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

%e Some solutions for n=2 k=4

%e ..1..0..0..0..0..0..0..0....1..0..0..0..0..0..0..1....0..0..0..0..0..0..0..0

%e ..1..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0

%e ..1..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....0..1..1..1..1..1..0..0

%e ..0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0

%e ..0..0..0..0..0..0..0..1....1..0..0..0..0..0..0..1....0..0..0..0..0..0..0..0

%e ..0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Apr 15 2013

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)