A218900 Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..1 4Xn array

16, 38, 286, 1096, 6280, 28598, 149238, 722094, 3651696, 18021788, 90208322, 448024152, 2235168520, 11123412124, 55435126828, 276050589212, 1375270796150, 6849815881386, 34121765700892, 169961133958828, 846617625629670

Offset

1,1

Comments

Row 4 of A218897

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +16*a(n-2) -16*a(n-3) -51*a(n-4) -107*a(n-5) -115*a(n-6) +457*a(n-7) +511*a(n-8) +617*a(n-9) -294*a(n-10) -2046*a(n-11) -1191*a(n-12) -307*a(n-13) +1059*a(n-14) +3506*a(n-15) -419*a(n-16) -2054*a(n-17) -800*a(n-18) -301*a(n-19) +699*a(n-20) +1069*a(n-21) +108*a(n-22) -403*a(n-23) -292*a(n-24) -177*a(n-25) +156*a(n-26) +98*a(n-27) +52*a(n-28) -72*a(n-29) +8*a(n-30)

Example

Some solutions for n=3
..1..0..0....1..0..0....1..0..1....0..0..1....0..0..0....0..0..1....1..0..1
..1..0..1....1..0..0....0..0..1....0..0..0....1..0..0....1..0..1....0..0..0
..0..0..0....0..0..0....1..0..1....0..0..1....1..0..1....1..0..1....1..0..0
..1..0..1....1..0..0....0..0..1....0..0..0....0..0..1....1..0..0....0..0..1

Crossrefs

Sequence in context: A230828 A122030 A122029 * A070585 A253435 A253159

Adjacent sequences: A218897 A218898 A218899 * A218901 A218902 A218903

Keyword

nonn

Author

R. H. Hardin Nov 08 2012

Status

approved