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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 4 of A214540 LINKS R. H. Hardin, Table of n, a(n) for n = 1..130 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: A226404 A166825 A042057 * A137322 A239006 A248627 Adjacent sequences:  A214539 A214540 A214541 * A214543 A214544 A214545 KEYWORD nonn AUTHOR R. H. Hardin Jul 20 2012 STATUS approved

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Last modified January 23 09:24 EST 2019. Contains 319385 sequences. (Running on oeis4.)