A224583 Number of (n+6)X9 0..1 matrices with each 7X7 subblock idempotent

125525, 22928, 21966, 24293, 26294, 27945, 29066, 30031, 35282, 44719, 57279, 72507, 89253, 106861, 125137, 148577, 181148, 226344, 286350, 362933, 456996, 569113, 704154, 871995, 1084810, 1357286, 1706012, 2148697, 2703197, 3392851

Offset

1,1

Comments

Column 3 of A224588

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) -3*a(n-6) +3*a(n-7) -2*a(n-8) +a(n-9) -a(n-10) -2*a(n-13) +2*a(n-14) -2*a(n-15) +2*a(n-16) -2*a(n-17) +3*a(n-18) -2*a(n-19) +2*a(n-20) -a(n-21) +a(n-22) -a(n-23) +a(n-24) -a(n-25) for n>33

Example

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

Crossrefs

Sequence in context: A237728 A048936 A237066 * A252208 A175691 A133220

Adjacent sequences: A224580 A224581 A224582 * A224584 A224585 A224586

Keyword

nonn

Author

R. H. Hardin Apr 11 2013

Status

approved