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 A214906 T(n,k)=Number of nXnXn triangular 0..k arrays with every horizontal row nondecreasing and having the same average value 11
 2, 3, 2, 4, 4, 2, 5, 6, 6, 2, 6, 9, 14, 14, 2, 7, 12, 29, 50, 38, 2, 8, 16, 50, 182, 242, 146, 2, 9, 20, 88, 458, 1802, 1682, 578, 2, 10, 25, 136, 1184, 7550, 29162, 13442, 2882, 2, 11, 30, 209, 2490, 31412, 210914, 657722, 134402, 14402, 2, 12, 36, 302, 5213, 100350 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .2..3...4....5....6.....7......8......9.....10......11......12.......13 .2..4...6....9...12....16.....20.....25.....30......36......42.......49 .2..6..14...29...50....88....136....209....302.....430.....584......793 .2.14..50..182..458..1184...2490...5213...9722...17864...30284....51088 .2.38.242.1802.7550.31412.100350.310079.811472.2065406.4695974.10458806 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1004 FORMULA Empirical for row n: n=1: a(k)=2*a(k-1)-a(k-2) n=2: a(k)=2*a(k-1)-2*a(k-3)+a(k-4) n=3: a(k)=2*a(k-2)+2*a(k-3)-4*a(k-5)-3*a(k-6)+3*a(k-8)+4*a(k-9)-2*a(k-11)-2*a(k-12)+a(k-14) n=4: (order 62 symmetric) EXAMPLE Some solutions for n=4 k=4 .....3........2........2........3........2........2........2........2 ....2.4......2.2......1.3......2.4......1.3......2.2......1.3......1.3 ...2.3.4....0.3.3....0.3.3....1.4.4....1.1.4....2.2.2....0.3.3....1.2.3 ..2.3.3.4..1.2.2.3..0.2.3.3..3.3.3.3..0.0.4.4..1.1.2.4..2.2.2.2..0.2.2.4 CROSSREFS Column 2 is A010551(n+1)+2 Row 2 is A002620(n+2) Sequence in context: A145178 A105079 A215182 * A274228 A321476 A214567 Adjacent sequences:  A214903 A214904 A214905 * A214907 A214908 A214909 KEYWORD nonn,tabl AUTHOR R. H. Hardin Jul 29 2012 STATUS approved

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Last modified August 7 15:30 EDT 2020. Contains 336276 sequences. (Running on oeis4.)