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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 (list; table; graph; refs; listen; history; text; internal format)
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: A250491 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

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Last modified May 11 19:29 EDT 2021. Contains 343808 sequences. (Running on oeis4.)