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A219933 Number of nX2 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nX2 array 1

%I #4 Dec 01 2012 17:55:56

%S 4,23,76,208,519,1212,2670,5574,11076,21043,38390,67522,114907,189804,

%T 305172,478788,734604,1104375,1629592,2363756,3375031,4749316,6593778,

%U 9040890,12253020,16427619,21803058,28665166,37354523,48274564,61900552

%N Number of nX2 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nX2 array

%C Column 2 of A219939

%H R. H. Hardin, <a href="/A219933/b219933.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/20160)*n^8 + (1/1680)*n^7 + (1/1440)*n^6 + (23/240)*n^5 - (613/2880)*n^4 + (211/120)*n^3 + (11149/5040)*n^2 + (61/420)*n

%e Some solutions for n=3

%e ..1..1....0..0....2..2....1..2....0..0....1..1....0..0....0..0....0..0....0..1

%e ..1..1....2..1....0..2....1..1....2..1....2..2....1..2....1..1....0..0....0..0

%e ..3..1....3..3....0..0....1..1....2..2....3..3....1..1....3..1....1..1....2..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 01 2012

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Last modified July 14 16:30 EDT 2024. Contains 374322 sequences. (Running on oeis4.)