A258540 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum

2520, 8836, 20736, 57600, 142544, 381924, 956736, 2496400, 6344576, 16467364, 42350672, 110082064, 285367424, 743652900, 1936887872, 5057485456, 13206499776, 34526842596, 90279314432, 236188224064, 617983034784

Offset

1,1

Comments

Column 3 of A258545

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +9*a(n-2) -51*a(n-3) -20*a(n-4) +275*a(n-5) -65*a(n-6) -820*a(n-7) +465*a(n-8) +1485*a(n-9) -1180*a(n-10) -1685*a(n-11) +1685*a(n-12) +1180*a(n-13) -1485*a(n-14) -465*a(n-15) +820*a(n-16) +65*a(n-17) -275*a(n-18) +20*a(n-19) +51*a(n-20) -9*a(n-21) -4*a(n-22) +a(n-23) for n>26

Example

Some solutions for n=4
..1..1..1..0..0....0..0..0..0..0....1..0..1..0..0....0..1..1..0..1
..1..1..0..1..0....1..1..1..1..1....1..0..1..0..1....1..1..0..0..0
..0..1..0..1..0....0..0..0..0..0....1..1..1..1..1....0..1..1..1..1
..1..0..1..0..1....1..1..1..1..1....0..1..0..1..0....1..1..0..0..1
..0..0..1..0..1....0..0..0..0..0....0..0..0..0..1....0..1..1..1..1
..0..0..0..0..0....0..0..0..0..0....0..1..1..1..1....1..1..0..1..1

Crossrefs

Cf. A258545

Sequence in context: A094515 A179700 A066531 * A159214 A224542 A064592

Adjacent sequences: A258537 A258538 A258539 * A258541 A258542 A258543

Keyword

nonn

Author

R. H. Hardin, Jun 02 2015

Status

approved