A224588 T(n,k)=Number of (n+6)X(k+6) 0..1 matrices with each 7X7 subblock idempotent

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

R. H. Hardin, Table of n, a(n) for n = 1..1055

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

Adjacent sequences: A224585 A224586 A224587 * A224589 A224590 A224591

Keyword

nonn,tabl

Author

R. H. Hardin Apr 11 2013

Status

approved