A219075 Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX5 array

17, 625, 17537, 494713, 14228041, 407374825, 11660290321, 333882416305, 9559854123673, 273717397488937, 7837125931615553, 224393896465841065, 6424880595963477921, 183958193843792111121, 5267120030903659835073

Offset

1,1

Comments

Column 5 of A219078

Links

R. H. Hardin, Table of n, a(n) for n = 1..91

Formula

Empirical: a(n) = 20*a(n-1) +158*a(n-2) +2330*a(n-3) +5837*a(n-4) +17850*a(n-5) -57426*a(n-6) -279582*a(n-7) -163347*a(n-8) +746554*a(n-9) +983888*a(n-10) -474072*a(n-11) -1651489*a(n-12) -646204*a(n-13) +913420*a(n-14) +1038852*a(n-15) +300209*a(n-16) -257176*a(n-17) -347922*a(n-18) -148694*a(n-19) +11843*a(n-20) -2590*a(n-21) +19366*a(n-22) -18694*a(n-23) +8067*a(n-24) -1302*a(n-25) -60*a(n-26) +180*a(n-27) -15*a(n-28)

Example

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

Crossrefs

Sequence in context: A222615 A012219 A349783 * A265678 A200907 A203170

Adjacent sequences: A219072 A219073 A219074 * A219076 A219077 A219078

Keyword

nonn

Author

R. H. Hardin Nov 11 2012

Status

approved