A255030 Number of (n+2) X (2+2) 0..1 arrays with every 3 X 3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

2554, 9492, 33778, 87907, 196724, 407885, 794663, 1460513, 2583757, 4473909, 7580232, 12566584, 20578851, 33488585, 53933411, 86021960, 136821479, 217262237, 342983060, 539386487, 849243443, 1336448972, 2095677481

Offset

1,1

Comments

Column 2 of A255036.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -a(n-2) -2*a(n-3) +2*a(n-4) -11*a(n-5) +8*a(n-6) +15*a(n-7) -15*a(n-8) +7*a(n-9) +5*a(n-10) -7*a(n-11) -14*a(n-12) -20*a(n-13) +24*a(n-14) +35*a(n-15) -26*a(n-16) -51*a(n-17) +76*a(n-18) +70*a(n-19) -105*a(n-20) -92*a(n-21) +107*a(n-22) +85*a(n-23) -137*a(n-24) -60*a(n-25) +141*a(n-26) +48*a(n-27) -108*a(n-28) -16*a(n-29) +72*a(n-30) -8*a(n-31) -44*a(n-32) +4*a(n-33) +20*a(n-34) -4*a(n-36) for n>42.

Example

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

Crossrefs

Cf. A255036.

Sequence in context: A185516 A235085 A252685 * A255037 A256948 A202587

Adjacent sequences: A255027 A255028 A255029 * A255031 A255032 A255033

Keyword

nonn

Author

R. H. Hardin, Feb 13 2015

Status

approved