cp's OEIS Frontend

A183914 Number of nondecreasing arrangements of n numbers in -6..6 with sum zero.

%I A183914 #7 Jul 22 2025 09:18:02
%S A183914 1,7,25,86,252,676,1656,3788,8150,16660,32540,61108,110780,194668,
%T A183914 332578,553981,901723,1437269,2247151,3451798,5216252,7764392,
%U A183914 11396054,16509188,23626234,33427622,46791278,64841876,89008530,121095602,163364972
%N A183914 Number of nondecreasing arrangements of n numbers in -6..6 with sum zero.
%C A183914 Column 6 of A183917
%H A183914 R. H. Hardin, <a href="/A183914/b183914.txt">Table of n, a(n) for n = 1..161</a>
%F A183914 Empirical: a(n)=a(n-1)+2*a(n-2)-a(n-3)-a(n-4)-a(n-6)-2*a(n-7)+a(n-8)+2*a(n-9)+a(n-11)+2*a(n-12)-a(n-13)-a(n-14)+2*a(n-15)-a(n-16)-4*a(n-17)-3*a(n-20)+a(n-21)+3*a(n-22)+a(n-24)+4*a(n-25)-a(n-26)-a(n-27)+3*a(n-28)-a(n-29)-4*a(n-30)-4*a(n-33)-a(n-34)+3*a(n-35)-a(n-36)-a(n-37)+4*a(n-38)+a(n-39)+3*a(n-41)+a(n-42)-3*a(n-43)-4*a(n-46)-a(n-47)+2*a(n-48)-a(n-49)-a(n-50)+2*a(n-51)+a(n-52)+2*a(n-54)+a(n-55)-2*a(n-56)-a(n-57)-a(n-59)-a(n-60)+2*a(n-61)+a(n-62)-a(n-63)
%e A183914 Some solutions for n=4
%e A183914 .-5...-6...-2...-5...-3...-4...-6...-3...-4...-5...-6...-4...-4...-3...-6...-3
%e A183914 ..0...-1...-1....0...-3....1...-1....1...-3...-2...-3...-1...-3...-1....0...-2
%e A183914 ..1....1....0....0....1....1....2....1....3....2....4....2....1....1....0...-1
%e A183914 ..4....6....3....5....5....2....5....1....4....5....5....3....6....3....6....6
%K A183914 nonn
%O A183914 1,2
%A A183914 _R. H. Hardin_ Jan 07 2011