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A224588
T(n,k)=Number of (n+6)X(k+6) 0..1 matrices with each 7X7 subblock idempotent
9
2185738, 164935, 164935, 125525, 26918, 125525, 122508, 22928, 22928, 122508, 128620, 24643, 21966, 24643, 128620, 138581, 26542, 24293, 24293, 26542, 138581, 146715, 27611, 26294, 26528, 26294, 27611, 146715, 156428, 28629, 27945, 28783
OFFSET
1,1
COMMENTS
Table starts
.2185738.164935.125525.122508.128620.138581.146715.156428.171787.199628.251449
..164935..26918..22928..24643..26542..27611..28629..29006..34239..43678..55912
..125525..22928..21966..24293..26294..27945..29066..30031..35282..44719..57279
..122508..24643..24293..26528..28783..30456..31741..32736..38059..47654..60745
..128620..26542..26294..28783..31062..32814..34107..35087..40536..50460..63767
..138581..27611..27945..30456..32814..34588..35891..36872..42492..52620..66173
..146715..28629..29066..31741..34107..35891..37202..38192..43958..54300..68099
..156428..29006..30031..32736..35087..36872..38192..39188..45101..55656..69702
..171787..34239..35282..38059..40536..42492..43958..45101..51306..62221..76663
..199628..43678..44719..47654..50460..52620..54300..55656..62221..73564..88470
LINKS
FORMULA
Empirical for column k:
k=1: [order 27] for n>39
k=2: [order 29] for n>39
k=3: [order 25] for n>33
k=4: [order 17] for n>23
k=5: [order 15] for n>21
k=6: a(n) = 3*a(n-1) -2*a(n-2) -2*a(n-3) +3*a(n-4) -a(n-5) +a(n-7) -2*a(n-8) +2*a(n-10) -a(n-11) for n>17
k=7..15+: a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4) +a(n-7) -3*a(n-8) +3*a(n-9) -a(n-10) for n>16
EXAMPLE
Some solutions for n=2 k=4
..1..1..1..1..0..1..0..1..1..0....1..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..0..0..0
..0..0..0..0..0..0..0..0..0..0....1..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..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..0..0..0
..0..0..0..0..0..0..0..0..0..1....0..0..0..0..0..1..0..0..0..0
..0..0..0..0..0..0..0..0..0..1....1..0..0..0..0..0..0..0..0..1
CROSSREFS
Sequence in context: A348032 A224580 A224581 * A234332 A251342 A019289
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 11 2013
STATUS
approved