A258950 Number of (n+3)X(1+3) 0..1 arrays with no 4x4 subblock diagonal sum not equal the antidiagonal sum

17920, 80000, 357600, 1645856, 7668960, 35887648, 169347520, 803828768, 3829693280, 18318594784, 87917964800, 423088386624, 2041161306400, 9869739175968, 47819393840000, 232117792647904, 1128649067945600

Offset

1,1

Comments

Column 1 of A258957

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -34*a(n-2) +52*a(n-3) -389*a(n-4) +1200*a(n-5) -487*a(n-6) +3908*a(n-7) -14360*a(n-8) +348*a(n-9) -14088*a(n-10) +73248*a(n-11) +2240*a(n-12) +12872*a(n-13) -133456*a(n-14) -2760*a(n-15) +3568*a(n-16) +39552*a(n-17) +51040*a(n-18) -22336*a(n-19) +896*a(n-20) +5632*a(n-21) -8704*a(n-22) +2048*a(n-23)

Example

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

Crossrefs

Cf. A258957

Sequence in context: A165106 A205661 A258957 * A258949 A205950 A205461

Adjacent sequences: A258947 A258948 A258949 * A258951 A258952 A258953

Keyword

nonn

Author

R. H. Hardin, Jun 15 2015

Status

approved