A251097 Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element

1278, 30517, 713769, 16697127, 391088995, 9160138107, 214512524583, 5023196973684, 117627015646158, 2754453306431041, 64500662200661322, 1510403356276243957, 35368910899695159552, 828228987011430501703

Offset

1,1

Comments

Column 5 of A251100

Links

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

Formula

Empirical: a(n) = 64*a(n-1) -1764*a(n-2) +29700*a(n-3) -350488*a(n-4) +3107079*a(n-5) -21536824*a(n-6) +119757642*a(n-7) -543940823*a(n-8) +2045999565*a(n-9) -6444601609*a(n-10) +17157130467*a(n-11) -38908214534*a(n-12) +75659291228*a(n-13) -126869529554*a(n-14) +184336056227*a(n-15) -233006780681*a(n-16) +257060876816*a(n-17) -248098761256*a(n-18) +209731219435*a(n-19) -155260530399*a(n-20) +100445433948*a(n-21) -56541615273*a(n-22) +27492563839*a(n-23) -11423056137*a(n-24) +3995023081*a(n-25) -1152174020*a(n-26) +266437832*a(n-27) -47464016*a(n-28) +6119568*a(n-29) -509760*a(n-30) +20736*a(n-31)

Example

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

Crossrefs

Sequence in context: A190831 A202643 A237407 * A031798 A293923 A251890

Adjacent sequences: A251094 A251095 A251096 * A251098 A251099 A251100

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved