A257359 Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum

174724, 145924, 234256, 622521, 1196836, 2433600, 6012304, 15547249, 31606884, 64818601, 152028900, 378341401, 795240000, 1701645001, 3917508100, 9407060100, 20173089024, 44278259776, 100259623044, 236166840900, 512492764996

Offset

1,1

Comments

Column 6 of A257361

Links

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

Formula

Empirical: a(n) = 4*a(n-2) +17*a(n-4) -57*a(n-6) +2*a(n-8) -60*a(n-10) -127*a(n-12) +598*a(n-14) -292*a(n-16) +315*a(n-18) +312*a(n-20) -1149*a(n-22) +223*a(n-26) -55*a(n-28) +127*a(n-30) +51*a(n-32) -32*a(n-34) -6*a(n-36) -5*a(n-38) -a(n-40) +a(n-42) for n>48

Example

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

Crossrefs

Cf. A257361

Sequence in context: A247348 A029830 A202491 * A126557 A342325 A236116

Adjacent sequences: A257356 A257357 A257358 * A257360 A257361 A257362

Keyword

nonn

Author

R. H. Hardin, Apr 20 2015

Status

approved