A255037 Number of (2+2)X(n+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, vertically and ne-to-sw antidiagonally

2554, 9492, 39935, 149676, 470542, 1327776, 3504157, 8592073, 19523668, 42192840, 87741169, 175828172, 340618536, 642923427, 1187248357, 2146944186, 3811714957, 6667796028, 11509404139, 19616095273, 33069965639, 55247271475, 91517734117

Offset

1,1

Comments

Row 2 of A255036

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -13*a(n-2) +14*a(n-3) -13*a(n-4) +a(n-5) +42*a(n-6) -58*a(n-7) +36*a(n-8) -46*a(n-9) -11*a(n-10) +110*a(n-11) -129*a(n-12) +178*a(n-13) -64*a(n-14) -139*a(n-15) +99*a(n-16) -198*a(n-17) +230*a(n-18) -37*a(n-19) +105*a(n-20) -130*a(n-21) +155*a(n-22) -101*a(n-23) -134*a(n-24) +232*a(n-25) -533*a(n-26) +202*a(n-27) +452*a(n-28) +96*a(n-29) -732*a(n-30) +309*a(n-31) +761*a(n-32) -681*a(n-33) -702*a(n-34) +688*a(n-35) +552*a(n-36) -938*a(n-37) -12*a(n-38) +892*a(n-39) -172*a(n-40) -652*a(n-41) +252*a(n-42) +324*a(n-43) -296*a(n-44) -112*a(n-45) +192*a(n-46) +56*a(n-47) -80*a(n-48) -16*a(n-49) +16*a(n-50) for n>63

Example

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

Crossrefs

Cf. A255036

Sequence in context: A235085 A252685 A255030 * A256948 A202587 A125492

Adjacent sequences: A255034 A255035 A255036 * A255038 A255039 A255040

Keyword

nonn

Author

R. H. Hardin, Feb 13 2015

Status

approved