A258541 Number of (n+2)X(4+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

8100, 27889, 57600, 161604, 367236, 996004, 2414916, 6441444, 16224784, 42954916, 110502144, 291282489, 756800100, 1988981604, 5190626116, 13618189809, 35608444804, 93330861001, 244229686416, 639777619321, 1674684457216

Offset

1,1

Comments

Column 4 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>48

Example

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

Crossrefs

Cf. A258545

Sequence in context: A013458 A172775 A172843 * A031588 A145657 A224727

Adjacent sequences: A258538 A258539 A258540 * A258542 A258543 A258544

Keyword

nonn

Author

R. H. Hardin, Jun 02 2015

Status

approved