A231260 Number of (n+1)X(5+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order

12, 211, 5109, 126851, 3130708, 77333664, 1911322499, 47238533054, 1167469879103, 28853204049176, 713087755664766, 17623492910180119, 435552963190637813, 10764403103144565858, 266035096373745526067

Offset

1,1

Comments

Column 5 of A231263

Links

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

Formula

Empirical: a(n) = 69*a(n-1) -2078*a(n-2) +38960*a(n-3) -525899*a(n-4) +5498915*a(n-5) -46432883*a(n-6) +324971505*a(n-7) -1918092860*a(n-8) +9666311433*a(n-9) -41987092645*a(n-10) +158405641708*a(n-11) -522483149728*a(n-12) +1515303637316*a(n-13) -3883210245412*a(n-14) +8829280197296*a(n-15) -17868610021296*a(n-16) +32259257306496*a(n-17) -52016416190400*a(n-18) +74922164013056*a(n-19) -96301233124608*a(n-20) +110211044965376*a(n-21) -111885000085504*a(n-22) +100202065260544*a(n-23) -78553659015168*a(n-24) +53334115090432*a(n-25) -30908302295040*a(n-26) +14987112742912*a(n-27) -5912828837888*a(n-28) +1821821108224*a(n-29) -410773356544*a(n-30) +60196651008*a(n-31) -4294967296*a(n-32)

Example

Some solutions for n=3
..0..0..0..0..1..1....0..0..1..1..0..0....0..0..0..0..0..0....0..0..0..1..1..1
..0..0..0..1..1..2....0..1..1..0..0..0....0..1..1..0..0..1....0..0..1..1..1..2
..1..1..1..1..2..2....1..0..0..1..1..2....1..1..0..0..1..1....2..2..1..1..2..2
..1..1..1..1..1..1....0..0..1..1..2..2....2..2..2..2..2..2....2..1..1..1..1..1

Crossrefs

Sequence in context: A027399 A266910 A296681 * A317199 A281253 A184711

Adjacent sequences: A231257 A231258 A231259 * A231261 A231262 A231263

Keyword

nonn

Author

R. H. Hardin, Nov 06 2013

Status

approved