A224592 Number of (n+7)X10 0..1 matrices with each 8X8 subblock idempotent.

1089765, 100703, 84312, 92168, 99428, 105212, 108474, 111239, 113381, 132097, 166674, 215030, 272096, 334613, 400060, 468605, 538345, 626573, 749112, 920036, 1147232, 1436120, 1789659, 2212564, 2705075, 3284761, 3986140, 4858464, 5957086

Offset

1,1

Comments

Column 3 of A224597

Links

R. H. Hardin, Table of n, a(n) for n = 1..104

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) +12*a(n-7) -10*a(n-8) +7*a(n-9) -3*a(n-10) -2*a(n-11) +7*a(n-12) -12*a(n-13) +15*a(n-14) -17*a(n-15) +17*a(n-16) -16*a(n-17) +13*a(n-18) -9*a(n-19) +5*a(n-20) -a(n-21) -2*a(n-22) +5*a(n-23) -6*a(n-24) +6*a(n-25) -5*a(n-26) +4*a(n-27) -3*a(n-28) +2*a(n-29) -a(n-30) for n>39

Example

Some solutions for n=3
..1..1..1..1..0..1..0..1..0..1....1..1..1..0..0..1..1..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
..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..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..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..1....1..1..1..0..0..0..1..1..1..1

Crossrefs

Sequence in context: A340132 A340405 A258704 * A252119 A109148 A077647

Adjacent sequences: A224589 A224590 A224591 * A224593 A224594 A224595

Keyword

nonn

Author

R. H. Hardin, Apr 11 2013

Status

approved