A218590 Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 nX6 array

49, 3565, 225647, 14313773, 908914463, 57707873919, 3663996495065, 232634494299223, 14770432493750847, 937804521455278797, 59543098444313115311, 3780511282396595054063, 240032277959119287777081

Offset

1,1

Comments

Column 6 of A218592

Links

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

Formula

Empirical: a(n) = 49*a(n-1) +784*a(n-2) +8032*a(n-3) +36736*a(n-4) +128672*a(n-5) +113364*a(n-6) +604540*a(n-7) -442768*a(n-8) +1552544*a(n-9) -2352736*a(n-10) +1296064*a(n-11) -920054*a(n-12) +541894*a(n-13) -439824*a(n-14) +294048*a(n-15) -85440*a(n-16) +68256*a(n-17) -16524*a(n-18) +14652*a(n-19) -9072*a(n-20) +864*a(n-21) -864*a(n-22) -81*a(n-24) +81*a(n-25) for n>27

Example

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

Crossrefs

Sequence in context: A376092 A132539 A248167 * A372811 A218204 A218231

Adjacent sequences: A218587 A218588 A218589 * A218591 A218592 A218593

Keyword

nonn

Author

R. H. Hardin Nov 03 2012

Status

approved