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Number of nonnegative integer arrays of length n summing to n without adjacent values differing by exactly 1
1

%I #7 Jan 10 2013 11:55:32

%S 1,3,4,13,22,84,169,585,1368,4352,11018,33610,89097,265059,724070,

%T 2122093,5909279,17178016,48426584,140179658,398403254,1150970558,

%U 3289206057,9495961430,27241417922,78650410773,226250990962,653512163209

%N Number of nonnegative integer arrays of length n summing to n without adjacent values differing by exactly 1

%H R. H. Hardin, <a href="/A187775/b187775.txt">Table of n, a(n) for n = 1..210</a>

%e All solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 10 2013