A255787 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0

361, 491, 1050, 2141, 4908, 11631, 28009, 69326, 174169, 438621, 1112366, 2823355, 7188661, 18288126, 46636012, 118746423, 302960773, 771654913, 1969083737, 5015887134, 12800207475, 32607429469, 83213838466, 211983036189

Offset

1,1

Comments

Column 3 of A255792

Links

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

Formula

Empirical: a(n) = 7*a(n-2) +3*a(n-3) -21*a(n-5) -14*a(n-6) +a(n-7) -53*a(n-8) +37*a(n-9) +31*a(n-10) +148*a(n-11) +71*a(n-12) -103*a(n-13) +164*a(n-14) -107*a(n-15) -125*a(n-16) -391*a(n-17) -208*a(n-18) +267*a(n-19) -156*a(n-20) +175*a(n-21) +270*a(n-22) +577*a(n-23) +137*a(n-24) -450*a(n-25) +3*a(n-26) -123*a(n-27) -181*a(n-28) -354*a(n-29) -29*a(n-30) +254*a(n-31) +103*a(n-32) +72*a(n-33) +36*a(n-34) +109*a(n-35) -17*a(n-36) -85*a(n-37) -53*a(n-38) -9*a(n-39) +3*a(n-40) -16*a(n-41) +11*a(n-42) +12*a(n-43) +11*a(n-44) -6*a(n-46) for n>49

Example

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

Crossrefs

Cf. A255792

Sequence in context: A137607 A367792 A325882 * A219340 A183997 A211822

Adjacent sequences: A255784 A255785 A255786 * A255788 A255789 A255790

Keyword

nonn

Author

R. H. Hardin, Mar 06 2015

Status

approved