A224591 Number of (n+7)X9 0..1 matrices with each 8X8 subblock idempotent

1770078, 147268, 100703, 101365, 107496, 110868, 115146, 114018, 114766, 133978, 169910, 214886, 272088, 334806, 399468, 466019, 536615, 623079, 745408, 912260, 1138206, 1426319, 1776503, 2191326, 2681245, 3258156, 3953601, 4814939, 5903764

Offset

1,1

Comments

Column 2 of A224597

Links

R. H. Hardin, Table of n, a(n) for n = 1..154

Formula

Empirical: a(n) = 2*a(n-1) -2*a(n-2) +a(n-3) -a(n-4) +2*a(n-5) -3*a(n-6) +4*a(n-7) -3*a(n-8) +3*a(n-9) -2*a(n-10) +3*a(n-11) -2*a(n-12) +3*a(n-13) -2*a(n-14) +a(n-15) -a(n-17) -2*a(n-19) +a(n-20) -4*a(n-21) +2*a(n-22) -4*a(n-23) +3*a(n-24) -5*a(n-25) +4*a(n-26) -3*a(n-27) +3*a(n-28) -2*a(n-29) +4*a(n-30) -2*a(n-31) +3*a(n-32) +a(n-34) +a(n-35) +a(n-39) -2*a(n-40) +a(n-41) -a(n-42) -a(n-44) +a(n-45) -a(n-46) for n>59

Example

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

Crossrefs

Sequence in context: A251981 A237148 A203941 * A017286 A017394 A017658

Adjacent sequences: A224588 A224589 A224590 * A224592 A224593 A224594

Keyword

nonn

Author

R. H. Hardin Apr 11 2013

Status

approved