A224581 Number of (n+6)X7 0..1 matrices with each 7X7 subblock idempotent

2185738, 164935, 125525, 122508, 128620, 138581, 146715, 156428, 171787, 199628, 251449, 337387, 463685, 642049, 872565, 1156493, 1513357, 1983382, 2631002, 3556586, 4890506, 6786490, 9424850, 13019794, 17851883, 24336233, 33091332

Offset

1,1

Comments

Column 1 of A224588

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = a(n-3) +a(n-5) +a(n-7) +2*a(n-8) +3*a(n-9) +2*a(n-10) -2*a(n-13) -2*a(n-14) -3*a(n-15) -2*a(n-16) -4*a(n-17) -3*a(n-18) -2*a(n-19) +a(n-21) +2*a(n-22) +2*a(n-23) +a(n-24) +a(n-25) +a(n-26) +a(n-27) for n>39

Example

Some solutions for n=2
..1..0..1..1..0..1..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..1..0..1..1..0....0..0..1..1..0..0..0....0..1..0..0..1..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..0..1..1..0..0..0....0..0..0..0..0..0..0
..0..0..1..0..1..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..1..1..0..0..0....0..0..0..0..0..0..0
..0..0..1..0..1..1..0....0..0..0..0..0..0..0....0..1..0..0..1..1..0
..0..0..1..0..1..1..0....0..0..1..1..0..0..0....0..1..1..1..0..0..1

Crossrefs

Sequence in context: A250491 A348032 A224580 * A224588 A234332 A251342

Adjacent sequences: A224578 A224579 A224580 * A224582 A224583 A224584

Keyword

nonn

Author

R. H. Hardin Apr 11 2013

Status

approved