A256949 Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally and vertically

10732, 66542, 319819, 1015815, 2663867, 6028589, 12037534, 21294643, 35521186, 57234252, 89676230, 134932398, 198655215, 288520658, 415961574, 589167646, 826254462, 1152482731, 1611607524, 2230360474, 3072644988, 4233869096

Offset

1,1

Comments

Column 3 of A256954

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -7*a(n-2) +11*a(n-3) -12*a(n-4) -2*a(n-5) +18*a(n-6) -41*a(n-7) +82*a(n-8) -88*a(n-9) +80*a(n-10) -63*a(n-11) -30*a(n-12) +92*a(n-13) -124*a(n-14) +185*a(n-15) -157*a(n-16) +144*a(n-17) -165*a(n-18) +104*a(n-19) -82*a(n-20) +46*a(n-21) +46*a(n-22) -84*a(n-23) +136*a(n-24) -180*a(n-25) +152*a(n-26) -112*a(n-27) +64*a(n-28) -16*a(n-29) for n>47

Example

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

Crossrefs

Cf. A256954

Sequence in context: A117090 A255038 A255031 * A146320 A211607 A258513

Adjacent sequences: A256946 A256947 A256948 * A256950 A256951 A256952

Keyword

nonn

Author

R. H. Hardin, Apr 13 2015

Status

approved