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A238318 Number of (n+1)X(3+1) 0..2 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors 1
22, 376, 4294, 41046, 405636, 4245918, 44773061, 466364332, 4831077908, 50118953924, 520906788265, 5414918911420, 56265498867083, 584547225602293, 6073257215133643, 63102941239457036, 655660370108720902 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A238323

LINKS

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

FORMULA

Empirical: a(n) = 14*a(n-1) -69*a(n-2) +338*a(n-3) -119*a(n-4) -205*a(n-5) +3136*a(n-6) +585*a(n-7) -35422*a(n-8) +20437*a(n-9) +61393*a(n-10) -336471*a(n-11) -66762*a(n-12) +1255786*a(n-13) -168329*a(n-14) -1982021*a(n-15) +2418579*a(n-16) +2176189*a(n-17) -8355481*a(n-18) -4601562*a(n-19) +12549690*a(n-20) +7969403*a(n-21) -9569735*a(n-22) -6645703*a(n-23) +4296381*a(n-24) +2341505*a(n-25) -1782000*a(n-26) -206421*a(n-27) +727746*a(n-28) -138501*a(n-29) -247543*a(n-30) +28937*a(n-31) +27566*a(n-32) -3059*a(n-33) +13415*a(n-34) +6590*a(n-35) -2745*a(n-36) -793*a(n-37) +610*a(n-38) +103*a(n-39) -62*a(n-40) -17*a(n-41) +a(n-42) +a(n-43)

EXAMPLE

Some solutions for n=4

..2..2..0..0....2..2..2..0....2..2..2..1....2..2..2..2....1..1..0..0

..1..1..0..0....2..2..1..0....1..1..0..0....0..2..2..2....1..1..0..0

..0..1..1..1....2..2..1..1....0..0..0..0....0..1..1..0....2..2..0..0

..0..2..2..0....2..2..2..0....0..0..1..1....0..1..1..0....2..2..2..1

..2..2..2..0....2..2..2..0....1..1..1..1....0..1..1..1....2..2..2..2

CROSSREFS

Sequence in context: A253878 A081127 A016196 * A167120 A167121 A167122

Adjacent sequences:  A238315 A238316 A238317 * A238319 A238320 A238321

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 24 2014

STATUS

approved

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Last modified May 22 21:00 EDT 2019. Contains 323493 sequences. (Running on oeis4.)