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A183921 Number of nondecreasing arrangements of n numbers in -3..3 with sum zero and sum of squares not greater than n*12/3 1

%I #5 Mar 31 2012 12:35:55

%S 1,3,5,12,22,39,63,104,155,226,324,452,612,827,1087,1415,1817,2306,

%T 2886,3593,4417,5395,6537,7868,9392,11172,13180,15484,18100,21058,

%U 24372,28134,32298,36967,42161,47920,54266,61327,69043,77548,86872,97071,108168

%N Number of nondecreasing arrangements of n numbers in -3..3 with sum zero and sum of squares not greater than n*12/3

%C Column 3 of A183927

%H R. H. Hardin, <a href="/A183921/b183921.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=2*a(n-1)-a(n-2)-a(n-5)+2*a(n-6)-a(n-7)+a(n-8)-a(n-9)-a(n-10)+a(n-11)+a(n-13)-a(n-14)-a(n-16)+2*a(n-18)-a(n-19)+a(n-20)-2*a(n-21)+a(n-23)+a(n-24)-a(n-25)-a(n-28)+2*a(n-29)-a(n-30)-a(n-33)+2*a(n-34)-a(n-35)-a(n-38)+a(n-39)+a(n-40)-2*a(n-42)+a(n-43)-a(n-44)+2*a(n-45)-a(n-47)-a(n-49)+a(n-50)+a(n-52)-a(n-53)-a(n-54)+a(n-55)-a(n-56)+2*a(n-57)-a(n-58)-a(n-61)+2*a(n-62)-a(n-63)

%e All solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 08 2011

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Last modified March 28 15:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)