A224683 Number of (n+4)X5 0..1 matrices with each 5X5 subblock idempotent

5682, 2351, 2662, 3465, 4405, 5385, 6713, 8897, 12393, 17893, 25853, 36869, 52253, 74230, 106404, 154071, 224107, 325892, 472847, 684866, 991959, 1438581, 2089095, 3035865, 4411494, 6407917, 9304859, 13510805, 19621025, 28500115, 41401620

Offset

1,1

Comments

Column 1 of A224690

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -2*a(n-4) +2*a(n-5) -a(n-7) -a(n-9) +a(n-10) -a(n-11) +a(n-12) for n>18

Example

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

Crossrefs

Sequence in context: A151770 A224682 A224690 * A222824 A183638 A192098

Adjacent sequences: A224680 A224681 A224682 * A224684 A224685 A224686

Keyword

nonn

Author

R. H. Hardin Apr 15 2013

Status

approved