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 A214908 Number of 4X4X4 triangular 0..n arrays with every horizontal row nondecreasing and having the same average value 1
 2, 14, 50, 182, 458, 1184, 2490, 5213, 9722, 17864, 30284, 51088, 80840, 127040, 191162, 285357, 410940, 589294, 820180, 1136378, 1538406, 2072864, 2738172, 3606249, 4667108, 6021672, 7659902, 9714004, 12163526, 15197912, 18774496 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 4 of A214906 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = a(n-4) +2*a(n-6) +2*a(n-8) +2*a(n-9) -2*a(n-10) -2*a(n-12) -2*a(n-13) -4*a(n-14) -4*a(n-15) -a(n-16) -4*a(n-17) +a(n-18) +4*a(n-19) +a(n-20) +4*a(n-21) +5*a(n-22) +8*a(n-23) +3*a(n-24) +2*a(n-25) +4*a(n-26) -4*a(n-27) -3*a(n-28) -2*a(n-29) -6*a(n-30) -8*a(n-31) -6*a(n-32) -2*a(n-33) -3*a(n-34) -4*a(n-35) +4*a(n-36) +2*a(n-37) +3*a(n-38) +8*a(n-39) +5*a(n-40) +4*a(n-41) +a(n-42) +4*a(n-43) +a(n-44) -4*a(n-45) -a(n-46) -4*a(n-47) -4*a(n-48) -2*a(n-49) -2*a(n-50) -2*a(n-52) +2*a(n-53) +2*a(n-54) +2*a(n-56) +a(n-58) -a(n-62) EXAMPLE Some solutions for n=4 .....2........2........2........2........3........2........2........2 ....2.2......1.3......1.3......2.2......2.4......1.3......1.3......0.4 ...1.1.4....1.2.3....0.3.3....2.2.2....2.3.4....1.2.3....0.3.3....0.2.4 ..1.1.3.3..1.1.3.3..0.1.3.4..0.1.3.4..1.3.4.4..0.2.2.4..2.2.2.2..1.2.2.3 CROSSREFS Sequence in context: A241232 A163796 A153978 * A143553 A341493 A064363 Adjacent sequences: A214905 A214906 A214907 * A214909 A214910 A214911 KEYWORD nonn AUTHOR R. H. Hardin Jul 29 2012 STATUS approved

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Last modified July 24 11:31 EDT 2024. Contains 374583 sequences. (Running on oeis4.)