A224597 T(n,k)=Number of (n+7)X(k+7) 0..1 matrices with each 8X8 subblock idempotent

65108492, 1770078, 1770078, 1089765, 147268, 1089765, 951062, 100703, 100703, 951062, 891884, 101365, 84312, 101365, 891884, 877647, 107496, 92168, 92168, 107496, 877647, 861932, 110868, 99428, 100678, 99428, 110868, 861932, 884782

Offset

1,1

Comments

Table starts

.65108492.1770078.1089765.951062.891884.877647.861932.884782.877730.938003

..1770078..147268..100703.101365.107496.110868.115146.114018.114766.133978

..1089765..100703...84312..92168..99428.105212.108474.111239.113381.132097

...951062..101365...92168.100678.108764.114337.118423.121292.123353.141953

...891884..107496...99428.108764.116744.122713.126820.129646.131588.150819

...877647..110868..105212.114337.122713.128682.132787.135622.137700.157201

...861932..115146..108474.118423.126820.132787.136874.139746.141832.161627

...884782..114018..111239.121292.129646.135622.139746.142592.144682.164747

...877730..114766..113381.123353.131588.137700.141832.144682.146758.167091

...938003..133978..132097.141953.150819.157201.161627.164747.167091.188034

Links

R. H. Hardin, Table of n, a(n) for n = 1..419

Formula

Empirical recurrences for column k:

k=1: order 35 for n>54

k=2: order 46 for n>59

k=3: order 30 for n>39

k=4: order 26 for n>33

k=5: order 22 for n>28

k=6: order 19 for n>25

Example

Some solutions for n=3 k=4
..0..1..0..0..0..0..0..0..0..0..1....1..0..0..0..0..0..0..0..0..0..0
..0..1..0..0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0..0..0..1
..0..1..0..0..0..0..0..0..0..0..1....1..0..0..0..0..0..0..0..0..0..1
..0..1..0..0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0..0..0..1
..0..1..0..0..0..0..0..0..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..0..0..0..1
..0..1..0..0..0..0..0..0..0..0..0....0..0..0..0..0..0..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..1
..0..0..0..0..0..0..0..0..0..0..1....1..0..0..0..0..0..0..0..0..0..1
..0..1..0..0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..0..0..0..1

Crossrefs

Sequence in context: A237339 A224589 A224590 * A204498 A103789 A184215

Adjacent sequences: A224594 A224595 A224596 * A224598 A224599 A224600

Keyword

nonn,tabl

Author

R. H. Hardin Apr 11 2013

Status

approved