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
Keywords
Examples
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
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)
Comments