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%I #7 May 20 2014 02:45:56
%S 1,0,10,12,55,144,311,936,1989,4928,11557,25340,59025,128576,283100,
%T 620976,1327258,2862528,6080645,12845064,27102284,56625624,118144679,
%U 245331648,507035957,1045854240,2148159266,4400962876,8993987459,18326508928,37269909849
%N Number of compositions of n, where the difference between the number of odd parts and the number of even parts is 10.
%C With offset 20 number of compositions of n, where the difference between the number of odd parts and the number of even parts is -10.
%H Alois P. Heinz, <a href="/A242508/b242508.txt">Table of n, a(n) for n = 10..1000</a>
%F Recurrence (for n>=14): (n-10)*(n+20)*(2*n+3)*(2*n+5)*(n^4 + 10*n^3 + 35*n^2 + 50*n - 9976)*a(n) = -400*(n-11)*(n+2)*(n+19)*(2*n+3)*(2*n+7)*a(n-1) + 2*(2*n + 5)*(2*n^7 + 41*n^6 + 500*n^5 + 2585*n^4 - 16152*n^3 - 177396*n^2 - 1963520*n - 4094400)*a(n-2) + 2*(n+2)*(2*n+3)*(2*n+7)*(2*n^5 + 31*n^4 + 183*n^3 + 709*n^2 - 18145*n - 33100)*a(n-3) - (n-4)*(n+6)*(2*n+5)*(2*n+7)*(n^4 + 14*n^3 + 71*n^2 + 154*n - 9880)*a(n-4). - _Vaclav Kotesovec_, May 20 2014
%Y Column k=10 of A242498.
%K nonn
%O 10,3
%A _Alois P. Heinz_, May 16 2014
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