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A253096
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Moments of 5-step random walk in 4 dimensions.
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2
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1, 5, 35, 305, 3105, 35505, 444225, 5970725, 85068365, 1272022745, 19810304695, 319422093325, 5307057746125, 90508769121165, 1579462112057595, 28130401719357645, 510199561574590125, 9405815167297415025, 175977472926360962295, 3336795660732459377085, 64047222901288457886285
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OFFSET
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0,2
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LINKS
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MAPLE
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W := proc(n, nu, twok)
option remember;
local k;
k := twok/2 ;
if n = 2 and nu = 1 then
binomial(2*k+2, k+1)/(k+2) ;
else
add( procname(n-1, nu, 2*j)*binomial(k, j)*(k+nu)!*nu!/(k-j+nu)!/(j+nu)!, j=0..k) ;
simplify(%, GAMMA) ;
end if;
end proc:
W(5, 1, n) ;
end proc:
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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