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A218199 Hilltop maps: number of n X 1 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..2 n X 1 array 6
1, 3, 7, 13, 25, 49, 97, 191, 375, 737, 1449, 2849, 5601, 11011, 21647, 42557, 83665, 164481, 323361, 635711, 1249775, 2456993, 4830321, 9496161, 18668961, 36702211, 72154647, 141852301, 278874281, 548252401, 1077835841, 2118969471, 4165784295 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 1 of A218206.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +a(n-2) +a(n-3) +a(n-4) +a(n-5).

Empirical g.f.: x*(1 + x + x^2)^2 / (1 - x - x^2 - x^3 - x^4 - x^5). - Colin Barker, Feb 18 2018

EXAMPLE

All solutions for n=3:

..1....0....1....1....0....0....1

..0....0....1....1....1....1....0

..1....1....0....1....1....0....0

CROSSREFS

cf. A102026.

Sequence in context: A336726 A201081 A017994 * A275788 A169914 A078000

Adjacent sequences:  A218196 A218197 A218198 * A218200 A218201 A218202

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 23 2012

STATUS

approved

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Last modified December 8 12:28 EST 2021. Contains 349596 sequences. (Running on oeis4.)