A224682 Number of (n+4)X(n+4) 0..1 matrices with each 5X5 subblock idempotent

5682, 1312, 1636, 2166, 2700, 3158, 4572, 7006, 10366, 14544, 19462, 26588, 37294, 52826, 74314, 102814, 141460, 195148, 270382, 375154, 518878, 715182, 984104, 1354110, 1863992, 2564712, 3524856, 4838762, 6637124, 9099956, 12471878

Offset

1,1

Comments

Diagonal of A224690

Links

R. H. Hardin, Table of n, a(n) for n = 1..33

Formula

Empirical: a(n) = 6*a(n-1) -15*a(n-2) +20*a(n-3) -15*a(n-4) +9*a(n-5) -16*a(n-6) +30*a(n-7) -30*a(n-8) +15*a(n-9) -6*a(n-10) +12*a(n-11) -18*a(n-12) +12*a(n-13) -3*a(n-14) +a(n-15) -3*a(n-16) +3*a(n-17) -a(n-18) for n>22

Example

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

Crossrefs

Sequence in context: A255147 A242946 A151770 * A224690 A224683 A222824

Adjacent sequences: A224679 A224680 A224681 * A224683 A224684 A224685

Keyword

nonn

Author

R. H. Hardin Apr 15 2013

Status

approved