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A214542
Number of 4X4X4 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value
1
2, 93, 344, 1181, 3198, 7801, 16752, 33605, 62766, 111653, 189264, 309453, 488806, 751289, 1124676, 1647473, 2364174, 3333765, 4623132, 6319045, 8519174, 11346717, 14938900, 19465789, 25115826, 32118473, 40725436, 51239465, 63991794, 79374993
OFFSET
1,1
COMMENTS
Row 4 of A214540
LINKS
FORMULA
Empirical: a(n) = a(n-1) +a(n-2) +a(n-3) -3*a(n-5) -2*a(n-6) -2*a(n-7) +4*a(n-8) +3*a(n-9) +2*a(n-10) -a(n-11) -3*a(n-12) -a(n-13) -a(n-14) +4*a(n-15) -a(n-16) -a(n-17) -3*a(n-18) -a(n-19) +2*a(n-20) +3*a(n-21) +4*a(n-22) -2*a(n-23) -2*a(n-24) -3*a(n-25) +a(n-27) +a(n-28) +a(n-29) -a(n-30)
EXAMPLE
Some solutions for n=4
.....3........3........2........1........2........2........2........1
....2.4......3.3......3.1......2.0......2.2......2.2......1.3......2.0
...2.4.3....2.3.4....3.2.1....1.2.0....2.2.2....1.4.1....1.4.1....2.1.0
..3.2.4.3..2.3.3.4..0.3.1.4..0.2.2.0..1.2.3.2..1.4.1.2..1.4.2.1..3.1.0.0
CROSSREFS
Sequence in context: A348852 A365852 A042057 * A137322 A239006 A248627
KEYWORD
nonn
AUTHOR
R. H. Hardin Jul 20 2012
STATUS
approved