A224584 Number of (n+6)X10 0..1 matrices with each 7X7 subblock idempotent

122508, 24643, 24293, 26528, 28783, 30456, 31741, 32736, 38059, 47654, 60745, 76148, 93083, 111033, 129756, 153513, 186786, 232806, 294033, 371986, 467644, 581659, 719363, 890061, 1106560, 1384000, 1739159, 2189675, 2754115, 3455903

Offset

1,1

Comments

Column 4 of A224588

Links

R. H. Hardin, Table of n, a(n) for n = 1..159

Formula

Empirical: a(n) = 3*a(n-1) -4*a(n-2) +4*a(n-3) -3*a(n-4) +a(n-5) +a(n-6) -2*a(n-7) +2*a(n-8) -2*a(n-9) +a(n-10) -a(n-13) +2*a(n-14) -2*a(n-15) +2*a(n-16) -a(n-17) for n>23

Example

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

Crossrefs

Sequence in context: A185864 A236797 A115545 * A345567 A345822 A254017

Adjacent sequences: A224581 A224582 A224583 * A224585 A224586 A224587

Keyword

nonn

Author

R. H. Hardin Apr 11 2013

Status

approved