A258519 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically

512, 2371, 6516, 16196, 47704, 156873, 488240, 1356489, 3595084, 9838222, 27777116, 77335445, 208141440, 551798439, 1474962640, 3975082026, 10653614768, 28234277048, 74474840360, 196928705327, 521756834144, 1378970429074

Offset

1,1

Comments

Column 1 of A258522

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -26*a(n-2) +44*a(n-3) -23*a(n-4) -56*a(n-5) -7*a(n-6) +480*a(n-7) -973*a(n-8) +412*a(n-9) +1761*a(n-10) -2196*a(n-11) -3393*a(n-12) +8720*a(n-13) -2593*a(n-14) -16840*a(n-15) +23470*a(n-16) +11156*a(n-17) -39087*a(n-18) +6704*a(n-19) +66632*a(n-20) -91824*a(n-21) -12160*a(n-22) +88000*a(n-23) -10048*a(n-24) -99584*a(n-25) +126720*a(n-26) -9216*a(n-27) -78848*a(n-28) +16384*a(n-29) +16384*a(n-30) for n>34

Example

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

Crossrefs

Cf. A258522

Sequence in context: A223333 A135273 A258522 * A254568 A254561 A254907

Adjacent sequences: A258516 A258517 A258518 * A258520 A258521 A258522

Keyword

nonn

Author

R. H. Hardin, Jun 01 2015

Status

approved