A224582 Number of (n+6)X8 0..1 matrices with each 7X7 subblock idempotent.

164935, 26918, 22928, 24643, 26542, 27611, 28629, 29006, 34239, 43678, 55912, 70122, 87081, 104589, 122291, 144899, 177217, 221460, 280369, 355102, 447725, 558187, 690822, 854927, 1064482, 1332274, 1674432, 2108903, 2654002, 3331481

Offset

1,1

Comments

Column 2 of A224588

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -5*a(n-2) +7*a(n-3) -9*a(n-4) +11*a(n-5) -12*a(n-6) +13*a(n-7) -13*a(n-8) +12*a(n-9) -10*a(n-10) +7*a(n-11) -4*a(n-12) +3*a(n-14) -6*a(n-15) +8*a(n-16) -10*a(n-17) +11*a(n-18) -11*a(n-19) +11*a(n-20) -10*a(n-21) +9*a(n-22) -7*a(n-23) +6*a(n-24) -5*a(n-25) +4*a(n-26) -3*a(n-27) +2*a(n-28) -a(n-29) for n>39

Example

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

Crossrefs

Sequence in context: A233705 A233706 A233701 * A352974 A327942 A201051

Adjacent sequences: A224579 A224580 A224581 * A224583 A224584 A224585

Keyword

nonn

Author

R. H. Hardin, Apr 11 2013

Status

approved