A224572 Number of (n+5) X 8 0..1 matrices with each 6 X 6 subblock idempotent.

16696, 5696, 5896, 6659, 7295, 7884, 8294, 9831, 12556, 16161, 20310, 25054, 30119, 36575, 45620, 58199, 74850, 96163, 122349, 154920, 196491, 250483, 320946, 412715, 530569, 680836, 872526, 1118125, 1434098, 1841746, 2367044, 3042526, 3909641

Offset

1,1

Comments

Column 3 of A224577.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -4*a(n-2) +4*a(n-3) -3*a(n-4) +a(n-5) +2*a(n-6) -5*a(n-7) +6*a(n-8) -6*a(n-9) +4*a(n-10) -a(n-11) -a(n-12) +2*a(n-13) -2*a(n-14) +2*a(n-15) -a(n-16) for n>21.

Example

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

Crossrefs

Cf. A224577.

Sequence in context: A260312 A345573 A345829 * A186311 A181098 A365813

Adjacent sequences: A224569 A224570 A224571 * A224573 A224574 A224575

Keyword

nonn

Author

R. H. Hardin, Apr 10 2013

Status

approved