A258543 Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum

77284, 241081, 381924, 996004, 1784896, 4359744, 8773444, 21372129, 47499664, 118113424, 282307204, 717007729, 1791151684, 4613533929, 11803953316, 30651955929, 79385316516, 207027730009, 539328672100, 1409439091204

Offset

1,1

Comments

Column 6 of A258545

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -9*a(n-2) -47*a(n-3) +153*a(n-4) -3*a(n-5) -629*a(n-6) +803*a(n-7) +883*a(n-8) -2747*a(n-9) +429*a(n-10) +4337*a(n-11) -2509*a(n-12) -5093*a(n-13) +3563*a(n-14) +7901*a(n-15) -6747*a(n-16) -11015*a(n-17) +13439*a(n-18) +9079*a(n-19) -16793*a(n-20) -6255*a(n-21) +16569*a(n-22) +6893*a(n-23) -19123*a(n-24) -4763*a(n-25) +20341*a(n-26) -477*a(n-27) -15813*a(n-28) +2087*a(n-29) +11281*a(n-30) -1447*a(n-31) -8951*a(n-32) +2143*a(n-33) +5847*a(n-34) -2461*a(n-35) -2623*a(n-36) +1465*a(n-37) +1001*a(n-38) -529*a(n-39) -441*a(n-40) +163*a(n-41) +165*a(n-42) -51*a(n-43) -35*a(n-44) +11*a(n-45) +3*a(n-46) -a(n-47) for n>49

Example

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

Crossrefs

Cf. A258545

Sequence in context: A254164 A254453 A234418 * A124489 A215662 A183694

Adjacent sequences: A258540 A258541 A258542 * A258544 A258545 A258546

Keyword

nonn

Author

R. H. Hardin, Jun 02 2015

Status

approved