A219060 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..2 nX5 array

25, 993, 32313, 1030457, 32958333, 1054361217, 33731920377, 1079168990473, 34525267140421, 1104548251723921, 35337216591063957, 1130524520728419705, 36168261542737956813, 1157111693607114751041, 37018850627063603301485

Offset

1,1

Comments

Column 5 of A219063

Links

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

Formula

Empirical: a(n) = 28*a(n-1) +110*a(n-2) +489*a(n-3) +1905*a(n-4) +18806*a(n-5) +7104*a(n-6) +44931*a(n-7) +115437*a(n-8) +792664*a(n-9) -2178978*a(n-10) +305339*a(n-11) -3082246*a(n-12) -6015354*a(n-13) -1186694*a(n-14) +3976166*a(n-15) +2138389*a(n-16) +9437494*a(n-17) +10047612*a(n-18) +2259507*a(n-19) -5831699*a(n-20) -2301084*a(n-21) -5320482*a(n-22) -3891345*a(n-23) -1499484*a(n-24) +5947466*a(n-25) -809446*a(n-26) +270372*a(n-27) -1403453*a(n-28) +760522*a(n-29) -3320432*a(n-30) +505697*a(n-31) +381095*a(n-32) +489288*a(n-33) -67734*a(n-34) +857945*a(n-35) +213222*a(n-36) -211110*a(n-37) +2526*a(n-38) -111222*a(n-39) -102345*a(n-40) -28374*a(n-41) +30420*a(n-42) +2025*a(n-43) +22815*a(n-44) +3420*a(n-45) -5670*a(n-46) -675*a(n-47) -675*a(n-48) -1350*a(n-49) +675*a(n-51)

Example

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

Crossrefs

Sequence in context: A319492 A290814 A218230 * A218316 A232698 A139163

Adjacent sequences: A219057 A219058 A219059 * A219061 A219062 A219063

Keyword

nonn

Author

R. H. Hardin Nov 11 2012

Status

approved