A224571 Number of (n+5)X7 0..1 matrices with each 6X6 subblock idempotent

18044, 5668, 5696, 6411, 7034, 7386, 7843, 9237, 11797, 15264, 19346, 23731, 28733, 34965, 43608, 55678, 71847, 92276, 117664, 149105, 189225, 241373, 309494, 397915, 511879, 657088, 842255, 1079523, 1384904, 1778583, 2286164, 2938752, 3776548

Offset

1,1

Comments

Column 2 of A224577

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -2*a(n-2) +2*a(n-3) -2*a(n-4) +3*a(n-5) -2*a(n-6) +a(n-7) -a(n-9) +a(n-10) -3*a(n-11) +3*a(n-12) -4*a(n-13) +3*a(n-14) -2*a(n-15) +2*a(n-16) -a(n-17) +a(n-18) +a(n-19) -a(n-20) +a(n-21) -a(n-22) +a(n-23) -a(n-24) for n>33

Example

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

Crossrefs

Sequence in context: A345842 A031641 A106769 * A251832 A250639 A205242

Adjacent sequences: A224568 A224569 A224570 * A224572 A224573 A224574

Keyword

nonn

Author

R. H. Hardin Apr 10 2013

Status

approved