A255759 Number of (4+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally

30182, 46367, 71651, 118925, 203503, 371616, 619142, 1072628, 1797116, 2967765, 5071867, 8405698, 14522330, 23891246, 44755522, 79091985, 151022450, 262118115, 546460339, 1023817596, 2086472417, 3735441860, 8131658798, 15548790150

Offset

1,1

Comments

Row 4 of A255756

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -17*a(n-2) +33*a(n-3) -30*a(n-4) -61*a(n-5) +285*a(n-6) -618*a(n-7) +911*a(n-8) -784*a(n-9) +7*a(n-10) +1268*a(n-11) -2683*a(n-12) +3502*a(n-13) -3369*a(n-14) +2710*a(n-15) -1886*a(n-16) +1406*a(n-17) -1314*a(n-18) +891*a(n-19) +13*a(n-20) -1337*a(n-21) +2744*a(n-22) -3452*a(n-23) +3356*a(n-24) -2668*a(n-25) +1664*a(n-26) -832*a(n-27) +320*a(n-28) -64*a(n-29) for n>53

Example

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

Crossrefs

Cf. A255756

Sequence in context: A260459 A202598 A298429 * A255752 A254841 A247855

Adjacent sequences: A255756 A255757 A255758 * A255760 A255761 A255762

Keyword

nonn

Author

R. H. Hardin, Mar 05 2015

Status

approved