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 A253096 Moments of 5-step random walk in 4 dimensions. 1
 1, 5, 35, 305, 3105, 35505, 444225, 5970725, 85068365, 1272022745, 19810304695, 319422093325, 5307057746125, 90508769121165, 1579462112057595, 28130401719357645, 510199561574590125, 9405815167297415025, 175977472926360962295, 3336795660732459377085, 6404722290128845788628 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS J. M. Borwein, A short walk can be beautiful, 2015. Jonathan M. Borwein, Armin Straub and Christophe Vignat, Densities of short uniform random walks, Part II: Higher dimensions, Preprint, 2015. MAPLE 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: A253096 := proc(n)     W(5, 1, n) ; end proc: seq(A253096(2*n), n=0..25) ; # R. J. Mathar, Jun 14 2015 CROSSREFS Sequence in context: A027392 A291813 A177354 * A305964 A226739 A109253 Adjacent sequences:  A253093 A253094 A253095 * A253097 A253098 A253099 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 16 2015 STATUS approved

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Last modified May 15 22:20 EDT 2021. Contains 343934 sequences. (Running on oeis4.)