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A253094
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Related to residues of poles of moment function for random walks in 6 dimensions.
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1
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1, -5, 6, 2, 6, 18, 66, 278, 1296, 6528, 34950, 196578, 1151610, 6981102, 43570170, 278841438, 1823991630, 12162884778, 82498605594, 568140045918, 3966323992074, 28032955095198, 200355706872054, 1446628270673682, 10542888272710224, 77496225169484448
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OFFSET
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0,2
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LINKS
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FORMULA
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n*(n+2)*a(n) + 5*(-2*n^2+6*n-1)*a(n-1) + 9*(n-3)*(n-5)*a(n-2) = 0. - R. J. Mathar, Jun 14 2015
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MAPLE
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option remember;
local nu, kno ;
nu := 2;
if k = -1 then
0;
elif k = 0 then
1;
else
kno := k-1 ;
procname(kno)/2*(20*(kno+1/2)^2-20*(kno+1/2)*nu-4*nu^2+1)-9*(kno-nu)*(kno-2*nu)*procname(kno-1) ;
%/(kno+1)/(kno+nu+1) ;
end if;
end proc:
ogf := (x-1)^4*hypergeom([1/3, 7/3], [3], -27*x*(x-1)^2/(9*x-1)^2)/(1-9*x)^(2/3);
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MATHEMATICA
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a[n_] := a[n] = Switch[n, 0, 1, 1, -5, _, (-9*n^2*a[n-2] + 10*n^2*a[n-1] + 72n*a[n-2] - 30n*a[n-1] - 135 a[n-2] + 5a[n-1])/(n(n+2))];
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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